Find the given derivative by finding the first few derivatives and observing the pattern that occurs. $\frac{d^{97}}{d x^{97}}(\sin x)$
A) $\cos x$
B) $\sin x$
C) $-\cos x$
D) $-\sin x$
E) None of these

Question

Quizplus · Accepted Answer

The derivative of $\sin x$ is $\cos x$, the derivative of $\cos x$ is $-\sin x$, and the derivative of $-\sin x$ is $\cos x$. This pattern repeats, so the 97th derivative of $\sin x$ is $\cos x$.

Find the Given Derivative by Finding the First Few Derivatives d97dx97(sin⁡x)\frac{d^{97}}{d x^{97}}(\sin x)dx97d97​(sinx)

Find the Given Derivative by Finding the First Few Derivatives $\frac{d^{97}}{d x^{97}}(\sin x)$