What is the derivative of x^2*x^7 ?

The derivative of x^2*x^7 is 9x^8

What is the first derivative of x^2*x^7 ?

The first derivative of x^2*x^7 is 9x^8

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\frac{d}{d x} (x^{2} \cdot x^{7})

9 x^{8}

Solution steps

\frac{d}{d x} (x^{2} x^{7})

Simplify

x^{2} x^{7} : x^{9}

= \frac{d}{d x} (x^{9})

Apply the Power Rule:

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

= 9 x^{9 - 1}

Simplify

= 9 x^{8}

\frac{\partial}{\partial y} (x^{4} y^{2} - x^{3} y)

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

f (x) = \frac{e ^{x}}{4 - 4 x}

\frac{\partial}{\partial y} (sin^{2} (x + y))

f (x) = 6 - x^{2}, g (x) = x

What is the derivative of x^2*x^7 ?
The derivative of x^2*x^7 is 9x^8
What is the first derivative of x^2*x^7 ?
The first derivative of x^2*x^7 is 9x^8