What is the derivative of f(x)= 4/5 x^{10} ?

The derivative of f(x)= 4/5 x^{10} is 8x^9

What is the first derivative of f(x)= 4/5 x^{10} ?

The first derivative of f(x)= 4/5 x^{10} is 8x^9

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derivative of

f (x) = \frac{4}{5} x^{10}

8 x^{9}

Solution steps

\frac{d}{d x} (\frac{4}{5} x^{10})

Take the constant out:

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

= \frac{4}{5} \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= \frac{4}{5} \cdot 10 x^{10 - 1}

Simplify

\frac{4}{5} \cdot 10 x^{10 - 1} : 8 x^{9}

= 8 x^{9}

What is the derivative of f(x)= 4/5 x^{10} ?
The derivative of f(x)= 4/5 x^{10} is 8x^9
What is the first derivative of f(x)= 4/5 x^{10} ?
The first derivative of f(x)= 4/5 x^{10} is 8x^9