What is the derivative of f(x)=100x^5 ?

The derivative of f(x)=100x^5 is 500x^4

What is the first derivative of f(x)=100x^5 ?

The first derivative of f(x)=100x^5 is 500x^4

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derivative of

f (x) = 100 x^{5}

500 x^{4}

Solution steps

\frac{d}{d x} (100 x^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 100 \frac{d}{d x} (x^{5})

Apply the Power Rule:

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

= 100 \cdot 5 x^{5 - 1}

Simplify

= 500 x^{4}

\frac{5}{( s - 3 ) ^{3}}

\int x (x + 5)^{6} d x

\frac{\partial}{\partial x} (2 x y - e^{x})

\frac{\partial}{\partial y} (\frac{t ^{2}}{4 y ^{4}})

\int \frac{3 x + 1}{( x ^{2} + 2 ) ( x + 3 )} d x

What is the derivative of f(x)=100x^5 ?
The derivative of f(x)=100x^5 is 500x^4
What is the first derivative of f(x)=100x^5 ?
The first derivative of f(x)=100x^5 is 500x^4