What is the derivative of x^{10}h(x) ?

The derivative of x^{10}h(x) is 11x^{10}h

What is the first derivative of x^{10}h(x) ?

The first derivative of x^{10}h(x) is 11x^{10}h

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derivative of

x^{10} h (x)

11 x^{10} h

Solution steps

\frac{d}{d x} (x^{10} h x)

Simplify

x^{10} h x : x^{11} h

= \frac{d}{d x} (x^{11} h)

Treat

h

as a constant

Take the constant out:

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

= h \frac{d}{d x} (x^{11})

Apply the Power Rule:

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

= h \cdot 11 x^{11 - 1}

Simplify

= 11 x^{10} h

f (x) = sec^{2} (x) - 1

\int - 16 x^{2} d x

\int t^{2} sin (t^{3}) d t

\int (x - 1)^{10} (x + 3)^{2} d x

\int \frac{2 ^{x}}{5 ^{x}} d x

What is the derivative of x^{10}h(x) ?
The derivative of x^{10}h(x) is 11x^{10}h
What is the first derivative of x^{10}h(x) ?
The first derivative of x^{10}h(x) is 11x^{10}h