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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Differentiate the function.

f(x) = 5.2x + 2.3

To determine

To find: The derivative of the function f(x).

Explanation

Given:

The function f(x)=5.2x+2.3.

Formula used:

Derivative of a Constant Function:

If c is a constant function, then ddx(c)=0 (1)

The Constant Multiple Rule:

If c is a constant and f(x)  is a differentiable function, then the constant multiple rule is,

ddx[cf(x)]=cddxf(x) (2)

The Power Rule:

If n is any real number, then the power rule is,

ddx(xn)=nxn1 (3)

The Sum Rule:

If f(x) and g(x) are both differentiable functions, then the sum rule is,

ddx[f(x)+g(x)]=ddx(f(x))+ddx(g(x)) (4)

Calculation:

The derivative of f(x)=5.2x+2.3 is f(x) is as follows

f(x)=ddx(f(x)) =ddx(5

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