   Chapter 11.1, Problem 49E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 47-52, find the indicated derivative. s = 2.3 + 2.1 t 1.1 − t 0.6 2 ; d s d t

To determine

To calculate: The derivative dsdt of function s=2.3+2.1t1.1t0.62.

Explanation

Given Information:

The provided function is s=2.3+2.1t1.1t0.62.

Formula used:

Sum rule and difference rule of derivatives is ddx[f(x)±g(x)]=ddxf(x)±ddxg(x).

Constant multiple rule is ddx[cf(x)]=cddxf(x), where c is constant.

Power rule of a function y=xn is dydx=nxn1, where n is some constant.

Derivative of a constant is 0.

Calculation:

Consider the function, s=2.3+2.1t1.1t0.62

Convert function to power form as below,

s=2.3+2.1t1.1t0.62

Apply difference and sum rule of derivative and differentiate with respect to t,

dsdt=ddt(2.3+2.1t1.1t0.62)=ddt(2.3)+ddt(2.1t1

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