What is the derivative of 3/5 x^{10} ?

The derivative of 3/5 x^{10} is 6x^9

What is the first derivative of 3/5 x^{10} ?

The first derivative of 3/5 x^{10} is 6x^9

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derivative of

\frac{3}{5} x^{10}

6 x^{9}

Solution steps

\frac{d}{d x} (\frac{3}{5} x^{10})

Take the constant out:

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

= \frac{3}{5} \frac{d}{d x} (x^{10})

Apply the Power Rule:

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

= \frac{3}{5} \cdot 10 x^{10 - 1}

Simplify

\frac{3}{5} \cdot 10 x^{10 - 1} : 6 x^{9}

= 6 x^{9}

\int \frac{1}{( x + \frac{1}{2} ) ^{2} + \frac{3}{4}} d x

\int 6^{3} + \frac{3}{x} + \frac{1}{x ^{2}} d x

\frac{\partial}{\partial x} (4 y e^{5 x^{2} - 6 y})

x \to 0 + lim (x^{\frac{1}{x}})

{\frac{1}{S ^{2} + 3 S}}

What is the derivative of 3/5 x^{10} ?
The derivative of 3/5 x^{10} is 6x^9
What is the first derivative of 3/5 x^{10} ?
The first derivative of 3/5 x^{10} is 6x^9