   Chapter 12.2, Problem 18E

Chapter
Section
Textbook Problem

# Finding a Derivative In Exercises 11-18, find r ' ( t ) . r ( t ) = 〈 t 3 , cos 3 t , sin 3 t 〉

To determine

To calculate: The derivative of the function r(t)=t3,cos3t,sin3t.

Explanation

Given:

The vector-valued function r(t)=t3,cos3t,sin3t.

Formula used:

If r(x)=f(x),g(x), where f and g are the differentiable functions of x, then

r(x)=f(x),g(x)

Calculation:

Consider the function:

r(t)=t3,cos3t,sin3t

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