What is the derivative of x^3f(x) ?

The derivative of x^3f(x) is 4x^3f

What is the first derivative of x^3f(x) ?

The first derivative of x^3f(x) is 4x^3f

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derivative of

x^{3} f (x)

4 x^{3} f

Solution steps

\frac{d}{d x} (x^{3} f x)

Simplify

x^{3} f x : x^{4} f

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

Treat

f

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= f \cdot 4 x^{4 - 1}

Simplify

= 4 x^{3} f

\int_{3}^{6} 4 d x

\frac{\partial}{\partial x} ((x + 2)^{2} - 2 (y - 1)^{2} - 5)

sin (x) + cos (x)

y^{^{''}} + 4 y^{^{'}} + 3 y = x

f (x) = x + 5, at x = 11

What is the derivative of x^3f(x) ?
The derivative of x^3f(x) is 4x^3f
What is the first derivative of x^3f(x) ?
The first derivative of x^3f(x) is 4x^3f