Draw the graph of the function f ( x ) = 4 sin ⁡ ( π ( x − 1 ) ) f\left(x\right)=4\sin\left(\pi\left(x-1\right)\right) on the interval [ 0 , 2 ] \left\lbrack\right.0,2] using the information given below. f ′ ( x ) = 4 π cos ⁡ ( π ( x − 1 ) ) f^{\prime}(x)=\left.4\pi\cos(\pi\left(x-1\right.)\right) f ′ ′ ( x ) = − 4 π 2 sin ⁡ ( π ( x − 1 ) ) f^{\prime\prime}(x)=-4\pi^2\sin(\pi\left(x-1\right.))

Table of contents

5. Graphical Applications of Derivatives

Curve Sketching

5. Graphical Applications of Derivatives

Curve Sketching: Study with Video Lessons, Practice Problems & Examples

29PRACTICE PROBLEM

ANSWERS OPTIONS

Graph of the function f(x)=4sin(π(x−1)) on the interval [0,2], showing peaks and troughs in red.

Graph of the function f(x)=4sin(π(x−1)) on the interval [0,2], showing a red curve oscillating between -4 and 4.

Graph of the function f(x)=4sin(π(x−1)) on the interval [0,2], showing peaks and troughs in red.