What is the derivative of f(x)=5x^3 ?

The derivative of f(x)=5x^3 is 15x^2

What is the first derivative of f(x)=5x^3 ?

The first derivative of f(x)=5x^3 is 15x^2

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derivative of

f (x) = 5 x^{3}

15 x^{2}

Solution steps

\frac{d}{d x} (5 x^{3})

Take the constant out:

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

= 5 \frac{d}{d x} (x^{3})

Apply the Power Rule:

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

= 5 \cdot 3 x^{3 - 1}

Simplify

= 15 x^{2}

\int - \frac{cos ( 3 x )}{3} d x

\int \frac{0.25}{( 0.2 5 ^{2} + x ^{2} ) ^{\frac{3}{2}}} d x

x \to 0 lim (\frac{4 x ^{2}}{x ^{2}})

\int_{- 1}^{1} (14 - 12 x)^{- 1} d x

\frac{\partial}{\partial z} (y arctan (\frac{x}{z}))

What is the derivative of f(x)=5x^3 ?
The derivative of f(x)=5x^3 is 15x^2
What is the first derivative of f(x)=5x^3 ?
The first derivative of f(x)=5x^3 is 15x^2