What is the derivative of x^7f(x) ?

The derivative of x^7f(x) is 8x^7f

What is the first derivative of x^7f(x) ?

The first derivative of x^7f(x) is 8x^7f

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derivative of

x^{7} f (x)

8 x^{7} f

Solution steps

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

Simplify

x^{7} f x : x^{8} f

= \frac{d}{d x} (x^{8} f)

Treat

f

as a constant

Take the constant out:

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

= f \frac{d}{d x} (x^{8})

Apply the Power Rule:

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

= f \cdot 8 x^{8 - 1}

Simplify

= 8 x^{7} f

y = x + x

x \to 0 + lim ((- 7 x) ln (6 x^{4}))

\int \frac{1}{3 x + 1} d x

ln (x^{6})

n = 0 \sum \infty \frac{4 ^{(2 n + 1)}}{( - 4 ) ^{n}}

What is the derivative of x^7f(x) ?
The derivative of x^7f(x) is 8x^7f
What is the first derivative of x^7f(x) ?
The first derivative of x^7f(x) is 8x^7f