What is the derivative of f(x)=x^5 ?

The derivative of f(x)=x^5 is 5x^4

What is the first derivative of f(x)=x^5 ?

The first derivative of f(x)=x^5 is 5x^4

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derivative of

f (x) = x^{5}

5 x^{4}

Solution steps

\frac{d}{d x} (x^{5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 x^{5 - 1}

Simplify

= 5 x^{4}

f (x) = \frac{1}{x ^{4}}, (- 2, \frac{1}{16})

\frac{d}{d x} (\frac{c ^{2} - x ^{2}}{2 x})

\int π (\frac{1}{1 + x ^{2}})^{2} d x

\int_{0}^{1} \frac{2 t}{1 + t ^{2}} d t

y = sin (4 x)

What is the derivative of f(x)=x^5 ?
The derivative of f(x)=x^5 is 5x^4
What is the first derivative of f(x)=x^5 ?
The first derivative of f(x)=x^5 is 5x^4