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Chapter 7: Problem 8

Find the derivative of the function. $$ h(x)=2 x^{5} $$

Short Answer

Expert verified
The derivative of the function \(h(x) = 2x^5\) is \(10x^4\)

Step by step solution

01

Identify the Power Rule

The derivative of a function in the form of \(x^n\) where \(n\) is any real constant is given using the power rule. The power rule is \(nx^{(n-1)}\) where 'n' is the power of x. In this function, \(2x^5\), 'n' is equal to 5.
02

Apply the Power Rule

Applying the power rule to \(2x^5\): derivative \(h'(x) = 5*2*x^{(5-1)} = 10x^4\).
03

Final Answer

So, the derivative of the function \(h(x) = 2x^5\) is \(10x^4\).

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