menu
bartleby
search
close search
Hit Return to see all results

An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) isO y14x-9Oy 14x71O y-14x10O y 8x-6O y (8x-6x- 1) + 5

Question
An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is
O y14x-9
Oy 14x71
O y-14x10
O y 8x-6
O y (8x-6x- 1) + 5
help_outline

Image Transcriptionclose

An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O y-14x10 O y 8x-6 O y (8x-6x- 1) + 5

fullscreen
check_circleAnswer
Step 1

The curve is given by,

y
4x26x-5 at the point 1,5
help_outline

Image Transcriptionclose

y 4x26x-5 at the point 1,5

fullscreen
Step 2

Differentiate y with respect to x,

dy d (4x-6x -5)
dx dx
d
(4x2)-^(6x)-(5)
dx
dx
dx
=8x -6
help_outline

Image Transcriptionclose

dy d (4x-6x -5) dx dx d (4x2)-^(6x)-(5) dx dx dx =8x -6

fullscreen
Step 3

Find the value of the derivative ...

dy
= {
8(-1)6
dx
-8- 6
-14
help_outline

Image Transcriptionclose

dy = { 8(-1)6 dx -8- 6 -14

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Given f(x) = x^5 + x^3 - 4 , find the derivative of f inverse at the point (-2,1).

A: We are given a function as 

question_answer

Q: Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the sol...

A: (A)It is given that, the region bounded by y = x2, x = 1 and y = 0.The region around the line y = -8...

question_answer

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

question_answer

Q: Write the integral for the average value of f(x,y,z)=xyz over the region bounded by the paraboloid z...

A: To express the integral notation for the average value of the function f(x,y,z)=xyz over the region ...

question_answer

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

question_answer

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.

A: The given series is

question_answer

Q: A) and B) please! I keep trying hahah.

A: To determine the correct choice from (A) and (B) by calculating the position function using antideri...

question_answer

Q: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

question_answer

Q: The heat flow vector field for conducting objects is F=−k∇T​, where T(x,y,z) is the temperature in t...

A: Assume k = 1.Then the vector field becomes, F = −∇T.Find ∇T as follows.

Sorry about that. What wasn’t helpful?