(a) Use a graphing utility to obtain the graph of the functionf(x) = x4 x2.(b) Use the

Chapter 2, Problem 59

(choose chapter or problem)

(a) Use a graphing utility to obtain the graph of the function $f(x)=x \sqrt{4-x^{2}}$

(b) Use the graph in part (a) to make a rough sketch of the graph of $f^{\prime}$.

(c) Find $f^{\prime}(x)$, and then check your work in part (b) by using the graphing utility to obtain the graph of $f^{\prime}$.

(d) Find the equation of the tangent line to the graph of $f$ at $x=1$, and graph $f$ and the tangent line together.

Equation Transcription:

$f(x)=x\sqrt{4-{x}^{2}}$

$f'$

$f'(x)$

$f$

$x=1$

Text Transcription:

f(x)=x square root 4-x^2

f'(x)

x=1

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