What is the derivative of f(x)=3x^8 ?

The derivative of f(x)=3x^8 is 24x^7

What is the first derivative of f(x)=3x^8 ?

The first derivative of f(x)=3x^8 is 24x^7

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derivative of

f (x) = 3 x^{8}

24 x^{7}

Solution steps

\frac{d}{d x} (3 x^{8})

Take the constant out:

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

= 3 \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= 3 \cdot 8 x^{8 - 1}

Simplify

= 24 x^{7}

x \to 0 lim (x^{s i n (2 x)})

\frac{\partial}{\partial x} (\frac{4 x}{y ^{3}})

x - y d x + x d y = 0

\int_{0}^{- \frac{π}{3}} x cos (3 x) d x

\int_{1}^{4} \frac{5}{x} d x

What is the derivative of f(x)=3x^8 ?
The derivative of f(x)=3x^8 is 24x^7
What is the first derivative of f(x)=3x^8 ?
The first derivative of f(x)=3x^8 is 24x^7