Tangent lines and derivatives

Welcome to the "Tangent lines and derivatives" category on Questions LLC! If you're a mathematics enthusiast or student looking for answers related to tangent lines and derivatives, you've come to the right place. This category is dedicated to exploring the fascinating world of calculus, focusing specifically on the concept of tangent lines and derivatives. Whether you're seeking to understand how to find a tangent line to a curve, comprehend the concept of slope at a point, or delve deeper into differentiation techniques, our community of experts is here to provide insightful responses to all your queries. So, dive in, explore the questions, and enhance your understanding of this fundamental aspect of calculus!

Questions (20)

Find an equation of the tangent line to the curve at the given point.y = 6 x sin x P= (pi/2 , 3pi) i know the slope of a tangent
1. 5 answers
2. asked by calc
3. 1,597 views
The line y=2x + b is tangent to the graph y= sqrt x at the point P= (a,sqrt a). Find P and determine b
1. 4 answers
2. asked by erika
3. 2,490 views
Find the slope of the tangent line to the graph of the function at the given point.g(x) = 7/2x + 9, (-2, 2)
1. 5 answers
2. asked by Anonymous
3. 1,314 views
Find the points on the curve below at which the tangent is horizontal. Use n as an arbitrary integer. (Enter your answers as a
1. 4 answers
2. asked by holly
3. 5,829 views
Find the slope and an equation of the tangent line to the graph of the function f at the specified point.f(x)=-1/3x^2+5x+5: (-1,
1. 4 answers
2. asked by Steff
3. 1,753 views
Find an equation of the tangent line to the curvey = 6/(1+e^−x)at the point (0,3).
1. 4 answers
2. asked by TayB
3. 866 views
Find all points at which the graph of f (x) = x^3 −3x has horizontal tangent lines.
1. 3 answers
2. asked by Katrina
3. 1,254 views
Find an equation of the tangent line to the curve at the given point.y= (9x)/(x+1)^2 P = (0,0)
1. 3 answers
2. asked by bebo
3. 506 views
Find all points on the graph of the function f(x) = 2 cos(x) + (cos(x))2 at which the tangent line is horizontal. Consider the
1. 2 answers
2. asked by Calculus
3. 1,351 views
Find the equation (in terms of x and y) of the tangent line to the curve r=3sin3(theta) at theta=pi/4.I don't know if I'm taking
1. 7 answers
2. asked by Jessica
3. 1,460 views
(x^2+y^2)^2=16yFind all values of x where the tangent line is vertical I found the derivative and looked for where it was
1. 4 answers
2. asked by Henry
3. 495 views
if the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, find k.all i know is that its related to finding a
1. 5 answers
2. asked by krishna
3. 498 views
Find the equation of the tangent line to the curve:2(x^2+y^2)^2 = 25(x^2-y^2) at the point ( 3 , 1 ). The equation of this
1. 1 answer
2. asked by applebottom
3. 337 views
I need help. I have no clue about how to solve this problem. Can someone go through it.Find the sope of the tangent line to the
1. 2 answers
2. asked by Neil
3. 896 views
the point on the curve is 4y=x^2 nearest to (7,2) is:this is what i did: i solved for y and I know that the there's a tangent
1. 1 answer
2. asked by Anonymous
3. 554 views
If f(x)=[(x−1)/(1+5x)], there are two points on the graph ofy=f(x) at which the tangent lines are parallel to the line
1. 2 answers
2. asked by Joe
3. 612 views
If a figure shows a function g(x) and its tangent line at the point B=(2,6.8). If the point A on the tangent line is
1. 1 answer
2. asked by Cecille
3. 603 views
So here is the question:Find and equation of the tangent line to the graph: 4)f(x)=e^(2x) passing through the point (0,0) I find
1. 3 answers
2. asked by Tom
3. 604 views
The line y=2x+b is tangent to the graph of y=x^1/2 at the point P=(a, a^1/2). Find P and determine b.I don't know what to do
1. 3 answers
2. asked by Macy
3. 555 views
find the points to the curvey=(cos x)/ (2 + sin x) at which the tangent is horizontal... can you explain how get the answer
1. 1 answer
2. asked by khela
3. 428 views