Asked Jan 16, 2020

Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).


Expert Answer

Step 1

The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Calculus homework question answer, step 1, image 1
Step 2

Finding the first derivative of the curve y = x3 at point (-2,-8).

Calculus homework question answer, step 2, image 1
Step 3

Now find the tangent eq...

Calculus homework question answer, step 3, image 1

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Let r(t)=(t, (4/3)t^(3/2), t^2). Find the equation of the osculating plane at the point correspondin...

A: Let the given point be (x0, y0, z0), to find the osculating plane find the cross product of the velo...


Q: 7. Find the derivate of the following, i.e. Find y 2In(r)tcotfe)

A: Given:


Q: Given +2 – 25 dt 1+ cos2(t) f(x) : At what value of x does the local max of f(x) occur? Preview

A: Consider the given function.


Q: The general polynomial of degree n has the form P(x) = an xn + an-1 xn-1 + ........ + a2 x2 + a1 x +...

A: Consider the general form polynomial of degree n which is shown below,


Q: If you use the approximation ln 2 ≈ 0.70 (in place of 0.69314c), you can derive a rule of thumb that...

A: Formula of compound continuously is


Q: Assume that y = sin-1 x is a differentiable function of x. By differentiating the equation x = sin y...

A: The given equation is


Q: What is a function? What is its domain? Its range? What is an ar-row diagram for a function? Give ex...

A: A relaton f from a set A to a set B is said to be a function if every element of A has one and only ...


Q: a. Graph the function ƒ(x) = sin x + cos(x/2). b. What appears to be the period of this function? c....

A: Given:


Q: verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal t...

A: [Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and ...