What is the derivative of x^4f(x) ?

The derivative of x^4f(x) is 5x^4f

What is the first derivative of x^4f(x) ?

The first derivative of x^4f(x) is 5x^4f

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derivative of

x^{4} f (x)

5 x^{4} f

Solution steps

\frac{d}{d x} (x^{4} f x)

Simplify

x^{4} f x : x^{5} f

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

Treat

f

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= f \cdot 5 x^{5 - 1}

Simplify

= 5 x^{4} f

y^{^{''}} + 4 y^{^{'}} = 6 e^{- 3 t}

\frac{d y}{d x} + \frac{9 y}{1000 + x} = 0.405

n = 1 \sum \infty \frac{17 n !}{n ^{n}}

\int \frac{( y - 1 ) ( y - 5 )}{y ^{3} - y ^{2} + 3 y + 5} d y

\frac{d y}{d x} = - 0.05 y

What is the derivative of x^4f(x) ?
The derivative of x^4f(x) is 5x^4f
What is the first derivative of x^4f(x) ?
The first derivative of x^4f(x) is 5x^4f