What is the derivative of f(x)= 1/4 x^8 ?

The derivative of f(x)= 1/4 x^8 is 2x^7

What is the first derivative of f(x)= 1/4 x^8 ?

The first derivative of f(x)= 1/4 x^8 is 2x^7

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derivative of

f (x) = \frac{1}{4} x^{8}

2 x^{7}

Solution steps

\frac{d}{d x} (\frac{1}{4} x^{8})

Take the constant out:

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

= \frac{1}{4} \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= \frac{1}{4} \cdot 8 x^{8 - 1}

Simplify

\frac{1}{4} \cdot 8 x^{8 - 1} : 2 x^{7}

= 2 x^{7}

\frac{d}{d x} (\frac{1 - sin ( x )}{1 - cos ( x )})

t^{3} cos (t)

\int \frac{1}{x ^{4} + x} d x

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

x^{3} - x, 3 x

What is the derivative of f(x)= 1/4 x^8 ?
The derivative of f(x)= 1/4 x^8 is 2x^7
What is the first derivative of f(x)= 1/4 x^8 ?
The first derivative of f(x)= 1/4 x^8 is 2x^7