What is the derivative of x^5f(x) ?

The derivative of x^5f(x) is 6x^5f

What is the first derivative of x^5f(x) ?

The first derivative of x^5f(x) is 6x^5f

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derivative of

x^{5} f (x)

6 x^{5} f

Solution steps

\frac{d}{d x} (x^{5} f x)

Simplify

x^{5} f x : x^{6} f

= \frac{d}{d x} (x^{6} f)

Treat

f

as a constant

Take the constant out:

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

= f \frac{d}{d x} (x^{6})

Apply the Power Rule:

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

= f \cdot 6 x^{6 - 1}

Simplify

= 6 x^{5} f

\int \frac{2 e ^{x} + 4}{2 e ^{x} - 4} d x

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

sec^{2} (x), 8 cos (x), - \frac{π}{3}, \frac{π}{3}

\frac{\partial}{\partial x} ((3 z + 2)^{5} e^{(- x - 5)} ln (4 y - 1))

\frac{1 - lo g _{e} ( x )}{x ^{2}}

What is the derivative of x^5f(x) ?
The derivative of x^5f(x) is 6x^5f
What is the first derivative of x^5f(x) ?
The first derivative of x^5f(x) is 6x^5f