What is the derivative of 3x^5 ?

The derivative of 3x^5 is 15x^4

What is the first derivative of 3x^5 ?

The first derivative of 3x^5 is 15x^4

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derivative of

3 x^{5}

15 x^{4}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 15 x^{4}

\frac{\partial}{\partial y} (1 + y^{2})

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

\int tan^{11} (x) sec^{8} (x) d x

(2 + x)^{2}

\int_{0}^{1} sec^{3} (x) d x