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

The derivative of f(x)=3x^5 is 15x^4

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

The first derivative of f(x)=3x^5 is 15x^4

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derivative of

f (x) = 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}

\int (\frac{8 x - 5}{3 x}) d x

\int 1 + x^{2} 2 x d x

in v erse l a pl a ce \frac{1}{( s + 20 ) [ ( s + 2 ) ^{2} + 1 ]}

n = 0 \sum \infty \frac{3 ^{n}}{1000}

\frac{d y}{d x} = x^{2} y

What is the derivative of f(x)=3x^5 ?
The derivative of f(x)=3x^5 is 15x^4
What is the first derivative of f(x)=3x^5 ?
The first derivative of f(x)=3x^5 is 15x^4