How to find equation of line by graphing functions

Practice Questions

CLEP Calculus › How to find equation of line by graphing functions

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1

Find the equation of the line tangent to at .

$f(x)=e^{3x} +x^2$

2

Find the equation of the line tangent to at .

3

What is the equation of the line tangent to f(x) = 4x3 – 2x2 + 4 at x = 5?

4

Find the slope of the tangent line through the given point of the following function.

at the point

5

What is the equation of the line tangent to $f(x)=\arctan (1-x^3)$ at ? Round to the nearest hundreth.

6

Find the tangent line to the function at the point .

7

Give the general equation for the line tangent to at the point $(x_{0},y_{0})$ .

8

Find the equation of the line tangent to at the point .

9

Find the slope of the line tangent to the following function at $\frac{\pi}{4}$ .

$\cos(2x)+\sin (x)$

10

Find the equation of the tangent line, where

, at .

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