   Chapter 12.2, Problem 19E

Chapter
Section
Textbook Problem

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

To determine

To calculate: The derivative of the function r(t)=tsint,tcost,t.

Explanation

Given:

The vector-valued function r(t)=tsint,tcost,t.

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)=tsint,tcost,t

Differentiate the function with respect to t and obtain the following result:

r(t)=ddttsint

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