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Popular >

(4x^3)^'

Solution

(4 x^{3})^{^{'}}

Solution

12 x^{2}

Solution steps

(4 x^{3})^{'}

Take the constant out:

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

= 4 (x^{3})^{^{'}}

Apply the Power Rule:

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

= 4 \cdot 3 x^{3 - 1}

Simplify

= 12 x^{2}

Popular Examples

derivative of 4+2x-3x^2-5x^3-8x^4+9x^5

\frac{d}{d x} (4 + 2 x - 3 x^{2} - 5 x^{3} - 8 x^{4} + 9 x^{5})

derivative of log_{5}(sqrt(7x+3))derivative of

lo g_{5} (7 x + 3)

integral of x(3+4x)^4

\int x (3 + 4 x)^{4} d x

(sqrt(x^4+1))/y (dy}{dx}=-\frac{x^3)/4

\frac{x ^{4} + 1}{y} \frac{d y}{d x} = - \frac{x ^{3}}{4}

(d^4)/(dx^4)(e^{4x})

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

Frequently Asked Questions (FAQ)

What is the (4x^3)^' ?
The (4x^3)^' is 12x^2
What is the first (4x^3)^' ?
The first (4x^3)^' is 12x^2