Determine Local Linearity and Linearization

Practice Questions

Calculus AB › Determine Local Linearity and Linearization

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1

Find the equation of the line tangent to the curve at the point where $x = \frac{\pi}{4}$

$f(x)=\tan(x)+x$

2

Find the equation of the line tangent to the curve at the point where $x = \frac{\pi}{4}$

$f(x)=\tan(x)+x$

3

Find the line tangent at the point (0,1)

$y=e^{3x}$

4

Find the line tangent at the point (0,1)

$y=e^{3x}$

5

Find the tangent line. Given the point (1,2)

6

Find the tangent line. Given the point (1,2)

7

Give the equation of the line tangent to the graph of the equation

$f(x) = 4x+ e^{x-2}$

at the point .

8

Give the equation of the line tangent to the graph of the equation

$f(x) = 4x+ e^{x-2}$

at the point .

9

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

10

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

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