Number of results: 40,360

**Calculus [finding slope of tangent line]**

Find the slope of the tangent line to the curve 0x^2−2xy+2y^3=10 at point (-4,1) Help please? Thanks in advance

*November 18, 2012 by Ali*

**geomery**

Triangle ABC, inscribed in a circle, has AB = 15 and BC = 25. A tangent to the circle is drawn at B, and a line through A parallel to this tangent intersects line BC at D. Find DC.

*June 26, 2015 by Bobby*

**calculus I**

Find the tangent line approximation to 1/x when x=1 How do i find tangent line approximations??? my prof hasn't gone over this and i don't understand how to do it.

*October 19, 2008 by Rob*

**math**

1. two circles. x^2+y^2-16x-8y+35=0 and x^2+y^2=5 are given. a. write the equations in the standard form. b.prove that the circles touch each other. c.hence calculate the equation of their common tangent 2. find the equation of a. circle. with centre c(2;3) and which I is the ...

*May 6, 2015 by Anonymous*

**Calc**

A line tangent to y=(x^2)+1 at x=a, a>0, intersects the x-axis at point P. a) Write an expression for the area of the triangle formed by the tangent line, the x-axis, and the line x=a. b) For what value of 'a' is the area of the triangle a minimum? Justify your answer. Show...

*February 20, 2008 by Michael*

**Calculus 2nd Post please help**

Find an equation of the tangent line to the graph of the function f defined by the following equation at the indicated point. (x - y - 1)3 = x; (1, -1)

*February 18, 2011 by Anonymous*

**Calculus**

Consider the function g(x) = sinxcosx. a. Find an equation of the tangent line to the graph of g at (pi/3, sqrt3/4). b. Find the critical number(s) of g on the interval [0, 2pi]. Does the function have a relative minimum, relative maximum, or neither at each critical number. ...

*November 18, 2016 by Anonymous*

**Calculus**

Use the given equation to answer the following questions. (Enter your answers from smallest to largest.) r = 8cos(¦È) 0 ¡Ü ¦È < ¦Ð (a) Find the points on the given curve where the tangent line is horizontal. theta= theta= (b) Find the points on the given curve where...

*June 1, 2012 by Cynthia*

**Calculus (Tangent Line Approximation)**

Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.

*December 22, 2011 by Mishaka*

**Calculus**

Suppose that y=f(x) = sqrt(2x), x>=0 Find a c > 0 such that the tangent line to the curve y = f(x) at x = c has the same slope as the tangent line to the curve y = f^–1(x) at x = c. You get: c = 1/8 c = 1/2 c = (1/8)^(1/3) c = (1/3)^(2/3) c = (1/2)^(1/3)

*April 9, 2015 by Thomas*

**Calculus**

Given that y=x^(5/2)- x^(-1/2) . a) Find the coordinates where the tangent line is parallel to the line y-4x-4=0. b) Find the coordinates where the tangent line is perpendicular to the line 2y-3x-12=0.

*October 17, 2011 by Alia*

**Math**

Use linear approximation, i.e. the tangent line, to approximate cube root of 27.05 as follows. Let f(x) = cube root of x and find the equation of the tangent line to f(x) at x = 27 in the form y = mx+b. Note: The values of m and b are rational numbers which can be computed by ...

*December 19, 2014 by Maxime*

**calculus**

for what value of r=4sinè have vertical tangent? In polar coordinates? Theta=90 deg is vertical. I do not know if you know how to differentiate polar coordinate equations so I changed your equation from polar to rectangular form, I don't know if that is the way you do it. ...

*April 26, 2007 by mary*

**calculus**

Find a function f(x) = a + b sqrt(x) that is tangent to the line 2y - 3x = 5 at the point (1,4) AND Find a function of the form f(x)=c+dcoskx that is tangent to the line y=1 at the point (0,1) and tangent to the line y=x+(3/2) - (pi/4) at the point ([pi/4], [3/2)

*February 9, 2010 by Kristen*

**Pre-Calculus**

Im having trouble with this. Find an equation of the tangent line to the parabola at the given point and find the x-intercept of the line. x^2=2y (4,8)

*March 22, 2009 by Shirley*

**Pre-Cal**

Find an equation of the tangent line to the parabola at the given point, and find the x-intercept of the line. 17) x^2=2y , (-3,9/2) 18) y=-2x^2 , (-1,-2)

*April 15, 2009 by Mike*

**Calculus: for mathmate**

Find the slope of the tangent line to the graph of the given function at any point: 1. f(x)= 13 I understand that you said the tangent to the line is the coefficient of x, but what would be the slope of this problem. For problems like this are there specific steps to take?

*February 8, 2011 by Anonymous*

**calculus**

Find an equation of the line tangent to 2x^2-x-ln(x-4)-y^2=9 at (5,6)

*March 29, 2010 by Lori*

**calculus**

Write an equation of the line tangent to y=(9-x^2)^2/3 at x=1

*March 12, 2011 by Amie*

**calculus**

find the equation of the tangent line to y=4^((x^2)-6x+3) at x=4

*June 16, 2011 by Levi*

**Calculus**

write the equation of line tangent to f(x)=(1/3x^3)-x^2+x-1 when x=1

*May 9, 2014 by Kim*

**Calculus**

The equation of the tangent line to f(x) = \sqrt{x} at x = 64 is y =

*October 31, 2014 by Alessandra Romano*

**cal**

find the equation for the tangent line g(x)=x-1/2x+4 at x=-1

*November 30, 2016 by lis*

**slope of tangent line**

the sl0pe of the tangent line to the graph of the exponential function y=2^x at the point (0,1) is lim(x->0)(2^x-1)/x. estimate the slope of three decimal places. f'(x)=2^x. what do i do. we have to solve this without using derivative. i keep getting zero.

*September 23, 2007 by Anonymous*

**calculas**

The point P(7, −4) lies on the curve y = 4/(6 − x). (a) If Q is the point (x, 4/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 mPQ = (ii) 6.99 mPQ = (iii) 6.999 mPQ = (iv) 6...

*January 15, 2017 by farad*

**CALC (TANGENT LINE)**

1-show that 1-x/2 is the tangent line approximation to 1/ sqrt of 1+x near x=0 2-what is the local linearization of e^x^2 near x=1 3-find the tnagent line approximation of 1/x near x=1

*April 1, 2010 by MILEY*

**Calculus Help Please!!!**

Find the equation in slope intercept form of the tangent line and the normal line to the curve x^2+4xy+y^2=13 at the point.(2,1). show steps please!!! thank you!

*April 8, 2014 by Tanya*

**calc**

for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o<t<1. Find an equation for the line tangent to the curve at the point where t=-1. x=3...

*April 17, 2007 by kelly*

**Math**

Find an equation for the tangent line to the curve at (π/2 , 2). y = 4 + cot(x) - 2csc(x) I am confused how to take the derivative of this problem. When I tried to solve it I ended up with -csc^2 (x) + (2csc(x) * cot(x)). From there I can't seem to simplify it. Also, can ...

*October 11, 2016 by Dave*

**Calculus**

Find the equation of the tangent line to the curve 2e^(xy) = x + y at (0,2)

*May 14, 2009 by Matt*

**Calculus**

If the equation of the tangent line to the curve: xy^3+xy=6, (3,1) find m and b

*June 11, 2009 by gnozahs*

**Calculus**

find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2

*August 9, 2009 by Stacy*

**Calculus**

find the equation of the tangent line to the curve when x=7. f(x)= 6-x^2

*August 9, 2009 by Stacy*

**Claculus**

find the equation of the tangent line to y^3-xy=-6 at the point (7,2)

*June 21, 2010 by Trace*

**calculus**

Find the equation of the tangent line to the graph of f(x)=4x^3-1x^2+1 at x=-2.

*October 12, 2010 by jo*

**Calculus**

find the equation of a tangent line of x^(1/4) + y^(1/4) = 4 at the point (16,16)

*November 14, 2010 by kevin*

**Calculus Please Help**

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

*March 23, 2011 by Abi*

**Calculus Please Help**

Let f(x) = x^3 - x^2 + x - 1. Find an equation for tangent line to f at x = 2.

*March 23, 2011 by Cecille*

**calculus**

find equation of a tangent line to y=x^3-5x+6 at the point where x=2

*June 19, 2011 by Yetty*

**Calculus**

find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2.

*September 7, 2011 by Hannah*

**Calculus**

find an equation for the line tangent to y=2-6x^2 at (-5,-148)

*September 7, 2011 by Hina*

**math**

Find f(3) and f'(3), assuming that the tangent line to y=f(x) at a=3 has the equation y=5x+2

*September 22, 2011 by Anonymous*

**calculus**

find an equation of the tangent line to the curve at y=2x^3+5x, (-1, 3)

*September 24, 2011 by vicki*

**Calculus**

equation of tangent line of the function sqrt (3x+5) where x=10

*October 14, 2011 by Jack*

**calculus**

find the equation of the tangent line for (xy)^2+(xy)-x=11 at the point (-11,0)

*October 28, 2011 by Anonymous*

**calculus**

Find an equation of the tangent line to the curve at (8,0). y=ln(x^2 -8x +1)

*November 9, 2011 by Alexa*

**calculus**

Find an equation of the tangent line to the graph y=(x^3 + 2)^5 at x= -1

*December 10, 2011 by Maha*

**Math**

Find an equation of the tangent line to the graph of y = f(x) at x = a, a = 1. f(x) = x + 3/x^2 + 1

*April 13, 2012 by Sandra Gibson*

**calculus**

f(x)=(x^2+1)(1-x-x^3).Determine the equation of the line tangent to f(x) at the point (1,-2).

*September 30, 2012 by jump*

**Calculus**

(x) = x ^3 - 12 x + 11, write the equation of the line tangent to the curve at x = 1

*October 18, 2012 by Kerry*

**calculus**

find the equation of the line tangent to the graph y=3e^x at x=1

*January 30, 2013 by Anonymous*

**calculus**

find the equation of the line tangent to the graph y=3e^x at x=1

*January 30, 2013 by Anonymous*

**calculus**

find equation of tangent line for x^(1/3) + y^(1/2)=2 at point (1,1)

*June 16, 2013 by jack*

**math**

Find the equation of the line tangent to f(x)=3x^2-2x-1 at the point where x=2

*August 1, 2013 by gerald*

**Calculus 1**

Given f(x)= 3e^(1-x^2)*ln(x), find the equation of the tangent line at x = 1.

*October 26, 2014 by Ben*

**Calculus**

If f(1)=4 and f'(1)=2, find an equation of the tangent line at x=1 A. y=2x+2 B. y=2x-2 C. y=4x-7 D. y=4x-2 E. None of these

*November 30, 2014 by Anonymous*

**Calculus**

Find the equation of the tangent line when x=2 for the functin f(x)=5^(x/2)

*March 29, 2015 by Anonymous*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**math**

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...

*October 18, 2010 by james*

**Calculus**

What are the coordinates of the point on the graph of f(x)=(x+1)(x+2) at which the tangent is parallel to the line with equation 3x-y-1=0? a)(-3,2) b)(-1,0) c)(0,2) d)(1,6) To answer this, I put f(x)=(x+1)(x+2) into the form f(x)=x^2+3x+2 and found the derivative which is f'(x...

*April 30, 2015 by Sara*

**Calculus**

Given the function y=(x^2-5/x+3), answer the following questions. a) Find dy/dx. Simplify your answer b) Find the coordinates of any points on the graph of y where the tangent line is horizontal. Show your work. c) Are there any points on the graph of y where the tangent line ...

*December 5, 2012 by Rudy*

**calculus**

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -2x3...

*January 15, 2015 by mock*

**Calculus**

The graph of the equation is x^2+xy+y^2=9 a) What is the equation of the right most vertical tangent? b) That tangent touches the ellipse where y= what? I've calculated the derivative to y'=(-y-2x)/(2y+x) and I found the horizontal tangents. How do I do this part?

*February 28, 2017 by Anonymous*

**Math - point on the graph (check +help)**

Determine the coordinates of the point on the graph of f(x)=sqrt(2x+1) where the tangent line is perpendicular to the line 3x+y+4=0 I do not seem to get the answer... I find the first derivative of f(x0 and equate it to the value of the slope from the tangent line. the answer ...

*October 23, 2010 by Anonymous*

**calculus**

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4. Find all values of x on the graph of f(x) = -2x3...

*January 15, 2015 by gerald*

**trigonometry**

Find the equation of a line passing through the origin so that the tangent of the angle between the line in quadrantI and the positive x-axis is sqrt3/3. A. y=sqrt3/3x B. y=sqrt3x C.y=x D.y=sqrt2/2x thnks alot:)

*January 16, 2009 by y912f*

**Calculus-derivatives**

Verify these answers~ 1. For what value(s) of x does f(x)=(x^2-16)^5 have a horizontal tangent? a) x=-4,4 b) x=-4,0,4 c) x=0 d) x=0,4 Answer is B, x=-4,0,4 --------------------------------------- 2. What is the derivative of f(x)=(3x^2+7)^3? a) f'(x)=3(3x^2+7)^2 b) f'(x)=18(3x...

*February 18, 2012 by Jake*

**Math**

Write the equation of the circle with center (-2,-3) and tangent to the line 2x+5y=10.

*January 25, 2009 by Hannah*

**calculus**

Determine the equation of the line that is tangent to y=8^x at the point on the curve where x=1/2

*April 19, 2010 by Anonymous*

**calculus**

Find the equation of tangent line to the curve Y=2/x^2+x At the point where x=1

*November 30, 2010 by pinki*

**calculus**

find,if any, an equation for a common tangent line to these 2 curves:5x^2;and 5x^2-x+6

*October 12, 2010 by lam*

**calculus**

y=3⋅2^x Find the equation of the line tangent to the graph of y at x=1.5.

*October 14, 2010 by jordyn*

**Calculus**

Find the equation of the tangent line to the graph of f(x) = −6x ln(x + 10) at x = 0.

*October 20, 2010 by Erika*

**Calculus**

which of the following is an equation of the line tangent to the graph of y = (x^3)-x at the point where x =2: a) y - 6 = 4(x-2) b) y - 6 = 5(x-2) c) y - 6 = 6(x-2) d) y - 6 = 11(x-2) e) y - 6 = 12(x-2) thanks!

*December 14, 2010 by Marc*

**calculus**

which of the following is an equation of the line tangent to the graph of y = (x^3)-x at the point where x =2: a) y - 6 = 4(x-2) b) y - 6 = 5(x-2) c) y - 6 = 6(x-2) d) y - 6 = 11(x-2) e) y - 6 = 12(x-2) thanks!

*December 14, 2010 by Marc*

**calculus**

what is the equation of the tangent line to the curve x^3 + 2y^2 + 3xy = 6 at the point (1,1)?

*December 15, 2010 by Sasha*

**Calculus**

Find the equation of the line tangent to the graph of f at (1,1) where f is given by f(x)=2x^3-2x^2+1

*February 8, 2011 by Grace*

**Ap Calculus**

Find the equation of the tangent line to the graph of f(x)=cos3xlnx^4 at (1,0)

*February 10, 2011 by Dinorah*

**calculus**

equation of the tangent line to the curve y = 2x²-x+10 at the point (-1,13)

*February 21, 2011 by Anonymous*

**algebra 2**

how to find equation of horizontal tangent line of 2y^3+6x^2y-12x^2+6y=1

*April 4, 2011 by Anonymous*

**Calculus**

Find an equation of the tangent line to the curve f(x)=-1/x+2 at the points (2, -1/4).

*May 9, 2011 by Anonymous*

**Calculus**

Find the equation of a circle with center C(1,6) and tangent line x-y-1=0.

*July 29, 2011 by Cad*

**Calculus**

If the slope is 3, find an equation of the tangent line to the curve at P(8, -3).

*October 8, 2011 by Cat*

**Calculus**

If 2x^3 + 2xy - y^2 = 6, then approximate the equation of the tangent line at point x = 1.44

*February 10, 2012 by Scooby10*

**calculus**

An equation of the line tangent to the graph of f(x) = (4x2 - 8x + 3)4 at the point where x = 1 is:

*February 16, 2012 by Anonymous*

**Calculus**

Find the equation of the tangent line to the graph of √(xy)=x-2y at (4,1)

*April 17, 2012 by Alan*

**calculis**

Find the equation of the tangent line to the curve y=e^2x + 4x at the point (0,1)

*April 23, 2012 by John*

**Calculus**

Find the slope of the tangent line to the graph of the equation: y = (2x^2+3)(x-1) at x=2. a = 11 b = 08 c = 19 d = 16

*April 26, 2012 by What's the Difference?*

**CALCULUS**

An equation of the line tangent to the graph of (5x - 1)/(3x + 1) at the point where x = 1 is? Any ideas?

*June 5, 2012 by ANONYMOUS*

**calculus**

Find the equation of the tangent line to the curve x^3 + xy^2 =5 at the point (1,2).

*September 30, 2012 by jump*

**calculus**

Find the equation of the tangent line to the graph of the function f(x)=x-3/3x-5 at x=1

*October 22, 2012 by Derik*

**math**

find an equation of the tangent line to the graph of y=e^(2x-3) at point (3/2,1) thanks!

*October 31, 2012 by matthias*

**maths**

Find the equation of the tangent to circle x² + y² - 6x + 4y - 12 = 0 which is parallel to line 4x +3y +5

*January 4, 2013 by nanuna*

**Calculus**

Let f(x)= 6x+(4/x^2). Then the equation of the tangent line to the graph f(x) at the point (2,13) is give by y=mx+b What is m? What is b?

*January 30, 2013 by Anonymous*