Determine the equation of the line tangent to the graph of f (x) = x3 – 4x – 7 at x = 2.
Question
Solution 1
Step 1: Find the derivative of the function f(x) = x^3 - 4x - 7. The derivative of a function gives us the slope of the tangent line at any point.
The derivative of x^3 is 3x^2, the derivative of -4x is -4, and the derivative of a constant like -7 is 0. So, the derivative of f(x) is f'(x) = 3x^2 - Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
Determine the equation of the line tangent to the graph of f (x) = x3 – 4x – 7 at x = 2.
If you wanted to shift the graph of y = 4x + 7 down, which equation could you use?A.y = -4x + 7B.y = 4x + 3C.y = 4x + 11D.y = x + 7
Question 7 of 10Given the function F(x), you can get a picture of the graph of its inverse F -1(x) by flipping the original graph of F(x) over the line _____.
Rewrite the following equation as a function of x;4x−8y+15=0Group of answer choicesf(x)=(8y−15)4 f(x)=4x8 −15f(x)=(4x+15)8 f(x)=(4x+15)−8 f(x)=−4x+158
Given x − 6 is a factor of f(x) = x3 + 5x2 − 48x − 108, determine the othertwo linear factors of f(x).