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Differentiation
Page 2
Questions (871)
The product rule
( ) ( ) ( ) ( ) ( ) ( ) fg x f x g x f x g x ′ = + ′ ′ , for all x at which both f and g are
1 answer
asked by
Fuad Faji Jemal
62 views
Given that y=t^2sin^-1t find the derivative of the function y
1 answer
asked by
Maryanne
88 views
My instructor has given the question in the image and the sample answer has also been given by him.
Image of the question and the
3 answers
asked by
.
143 views
Find the intervals within [0,2pi] where the epicycloid, vector function r(t)=<5cos(t)-cos(5t), 5sin(t)-sin(5t)> is smooth.
7 answers
asked anonymously
92 views
If g(x) = tan (5x2), then g ′(x) = ?
I've worked this problem out like four times already and I keep getting a complete
4 answers
asked by
Lily
787 views
Find the value of b, if any, that will make the function differentiable at x = 0
g(x)= { x+b, x<0 cos(x), x≥0 can you help, I
4 answers
asked by
Robby
2,100 views
how can i find c , f', g' from (1+cx)(f')-cx(g')/(1+cx)^2
1 answer
asked by
thy
314 views
Determine if the statement is always true, sometimes true, or never true.
If y is a function of x, and is also a function of t.
2 answers
asked by
AAron
623 views
A particle on the x-axis is moving to the right at 2 units per second. A second particle is moving down the y-axis at the rate
4 answers
asked by
Becca
2,005 views
for the curve x^2+z^2+2gx+2hy=0 value of dy/dx at(0,0) is
A. -g/h B. g/h C. h/g D. None Please help me. In the answer page it
4 answers
asked by
Venki
2,987 views
Use f(x)= 1/(square root(x)+1) to answer the following;
-- Use the difference quotient f'(x)=lim z->x (f(x)-f(z))/ (x-z) to find
2 answers
asked by
Mello
820 views
Express y=[4x-x^3]/[3x^2+2)^2 as a product and then differentiate. Simplify your answer using positive exponents. Help Please!
3 answers
asked by
lo
766 views
Differentiate ( 4x+2)_3 with respect to x .hence,find the value of dy/ DX when x=1
4 answers
asked by
Anonymous
834 views
Use the Chain Rule to find dw/dt.
w = ln (x^2 + y^2 + z^2)^.5 , x = 9 sin t, y = 6 cos t, z = 7 tan t
4 answers
asked by
Becky
5,405 views
let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1 - Ln(x))/x squared.
a) write
5 answers
asked by
sarah
5,975 views
Use logarithmic differentiation to find the derivative of the function.
y =sqrt(x)^3x
4 answers
asked by
TayB
2,381 views
Determine the interval on which The function is differentiable :
f(x) = 3x - 5
4 answers
asked by
Ismail
1,456 views
Compute f '(a) algebraically for the given value of a. HINT [See Example 1.]
f(x) = −6x − x2; a = 4
4 answers
asked by
la
3,451 views
Use logarithmic differentiation to find the derivative of the following equation.
y = (2x+1)^5(x^4−3)^6
5 answers
asked by
TayB
2,920 views
Use the second derivative test to find the relative extrema of f(x) = x
3 − 12x.
5 answers
asked by
john
1,239 views
A) If x^2+y^3−xy^2=5, find dy/dx in terms of x and y.
dy/dx=________ B) Using your answer for dy/dx, fill in the following
4 answers
asked by
Catherine
2,274 views
Suppose that a function f(125)=52 and f'(125)=4. Estimate f(123.5)
4 answers
asked by
Matt
1,456 views
Given a power function of the form f(x)=ax^n, with f'(3) = 14 and f'(6) = 28, find n and a.
5 answers
asked by
Catherine
4,219 views
Let f be a differentiable function such that f(4)=7 and f′(4)=15. The graph of f is concave up on the interval (3,5). Which of
4 answers
asked by
toan
9,699 views
Suppose f(pi/3) = 3 and f '(pi/3) = −7,
and let g(x) = f(x) sin x and h(x) = (cos x)/f(x). Find the following. a. g'(pi/3) b.
5 answers
asked by
Christina
11,016 views
Suppose that x=x(t) and y=y(t) are both functions of t. If x^2+y^2=26 and dx/dt=−2 when x=1 and y=5, what is dy/dt?
help??????
4 answers
asked by
june
2,388 views
An equation of the line tangent to the graph of f(x) = (4x2 - 8x + 3)4 at the point where x = 1 is:
5 answers
asked by
Anonymous
2,791 views
find point(s) on the graph of the function f(x) = x^3 - 2 where the slope is 3
5 answers
asked by
Jazmin
1,453 views
Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi....
a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel
4 answers
asked by
Penny
9,418 views
Let f be the function defined by f(x)=xe^(1-x) for all real numbers x.:
a. Find each interval on which f is increasing. b. Find
4 answers
asked by
Anonymous
2,978 views
Find d^2x/dt^2 as a function of x if dx/dt=4xcosx.
5 answers
asked by
Patrick
1,948 views
Find
dy/dt at x = 1 and y = x2 + 3 if dx/dt = 4 I'm not sure how to set up this type of equation. Do you use the pythagorem
4 answers
asked by
David
4,729 views
Find a function f such that f '(x) = 3x3 and the line 3x + y = 0 is tangent to the graph of f.
f(x) =
4 answers
asked by
Anonymous
4,372 views
1. Given the curve
a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for
5 answers
asked by
Fareha
4,597 views
find the tangent to y=27/(x^2+2) at (1,9)
4 answers
asked by
gabe
1,104 views
If y is a differentiable function of x, then the slope of the tangent to the curve xy - 2y + 4y^2 = 6 at the point where y=1 is
5 answers
asked by
Jen
4,091 views
y = (ln x)^(cos4x)
Use logarithmic differentiation to find the derivative of the function.
4 answers
asked by
John
4,157 views
A particle is moving along the curve whose equation is (xy^3)/(1+y^2)= 8/5. Assume the x-coordinate is increasing at the rate of
4 answers
asked by
Jo
2,083 views
Find the instantaneous rate of change of y with respect to x when x = 15 for the function y = 5x2 − 2x
4 answers
asked by
Branden
3,282 views
f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below gives selected values for f(x),
6 answers
asked by
Henry
7,186 views
Find the dy/dt for each pair of functions y=x^2-5x , x=t^2+3
4 answers
asked by
Kia
3,043 views
Find the equation of the tangent line to the graph of f(x) = −6x ln(x + 10) at x = 0.
4 answers
asked by
Erika
574 views
The twice–differentiable function f is defined for all real numbers and satisfies the following conditions:
f(0)=3 f′(0)=5
4 answers
asked by
Steven
4,606 views
Find d2y/dx2 in terms of x and y.
y5 = x6
4 answers
asked by
Matt
2,574 views
(a) Find dy/dx given that x^2+y^2-4x+7y=15.
(b) Under what conditions on x and/or y is the tangent line to this curve horizontal?
4 answers
asked by
George
1,636 views
Find y'' by implicit differentiation.
5x2 + y2 = 3 y'' =?
4 answers
asked by
Anonymous
3,465 views
Use logarithmic differentiation to find the derivative of the function.
y = (cos 2x)x
4 answers
asked by
mat
1,544 views
Use the rules of differentiation to find the derivative of the function.
y = π/2 cos(θ) − sin(θ)
4 answers
asked by
Anonymous
1,452 views
find d/dx (integral from 2 to x^4) tan(x^2) dx
tan(x^4)^2*4x^3 MY ANSWER
4 answers
asked by
Ke$ha
1,040 views
Find an equation of the line tangent to the curve defined by x3+2xy+y3=4 at the point (1,1).
4 answers
asked by
SHEK
1,225 views
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