Chapter 9.5, Problem 1E

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# In Problems 1-4, find the derivative and simplify. s = ( t 4 + 1 ) ( t 3 − 1 )

To determine

To calculate: The derivative of the function s=(t4+1)(t31) with simplification.

Explanation

Given Information:

The function is s=(t4+1)(t3âˆ’1).

Formula Used:

The product rule for the derivative, d(f(x))dx=u(x)d(v(x))dx+v(x)d(u(x))dx, where f(x) is a product of two function u(x) and v(x).

Simple power rule of derivative dxndx=nxnâˆ’1.

Calculation:

Consider the provided given function is s=(t4+1)(t3âˆ’1).

In the provided function,

u(t)=(t4+1)

And

v(t)=(t3âˆ’1)

Use the product rule of derivative d(f(x))dx=u(x)d(v(x))dx+v(x)d(u(x))dx

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