Question

Differentiate the function. $$A(s)=-\frac{12}{s^{5}}$$

Name: Problem 11, Chapter 3: Calculus
Uploaded: 2020-03-25T23:19:52-08:00
Duration: 46 s
Channel: Amrita Bhasin
Description: Differentiate the function. A(s)=-(12)/(s^5)

   Differentiate the function.
$$A(s)=-\frac{12}{s^{5}}$$

Calculus

James Stewart 4th Edition

Chapter 3, Problem 11

Instant Answer

Solved by Expert Amrita Bhasin

03/25/2020

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The given function is: \[ A(s) = -\frac{12}{s^5} \] Show more…

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Differentiate the function. $$A(s)=-\frac{12}{s^{5}}$$

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Key Concepts

Differentiation

Differentiation is a fundamental concept in calculus that involves finding the rate at which a function changes at any point. It typically results in another function, called the derivative, which gives the slope of the tangent line to the original function at each point.

Power Rule

The power rule is a basic method used in differentiation. It states that if you have a function of the form f(x) = x^n, then its derivative is f'(x) = n*x^(n-1). This rule is particularly useful for handling functions where the variable is raised to a constant exponent.

Negative Exponents

Negative exponents provide a way to express division in terms of multiplication by rewriting the expression. For example, a term like 1/x^n can be written as x^(-n). This reformulation is crucial when applying the power rule in differentiation, as it allows the rule to be applied uniformly across all terms.

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