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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Differentiate the function.

B(y) = cy–6

To determine

To find: The derivative of the function B(y)=cy6.

Explanation

Given:

The function, B(y)=cy6.

Where, c is a constant.

Formula used:

The Constant Multiple Rule:

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

ddy[cf(y)]=cddyf(y) (1)

The Power Rule:

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

ddy(yn)=nyn1 (2)

Calculation:

The derivative of B(y)=cy6 is B(y) as follows

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