What is the derivative of (3x^2-1)^4 ?

The derivative of (3x^2-1)^4 is 24x(3x^2-1)^3

What is the first derivative of (3x^2-1)^4 ?

The first derivative of (3x^2-1)^4 is 24x(3x^2-1)^3

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derivative of

(3 x^{2} - 1)^{4}

24 x (3 x^{2} - 1)^{3}

Solution steps

\frac{d}{d x} ((3 x^{2} - 1)^{4})

Apply the chain rule:

4 (3 x^{2} - 1)^{3} \frac{d}{d x} (3 x^{2} - 1)

= 4 (3 x^{2} - 1)^{3} \frac{d}{d x} (3 x^{2} - 1)

\frac{d}{d x} (3 x^{2} - 1) = 6 x

= 4 (3 x^{2} - 1)^{3} \cdot 6 x

Simplify

= 24 x (3 x^{2} - 1)^{3}

\int_{- 1}^{3} (x^{3} - 2 x) d x

\int (x^{2} cos (x) - 2 x cos (x)) d x

f (x) = (x^{3}) (e^{x})

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

\frac{d y}{d x} (- 3 y) = 0

What is the derivative of (3x^2-1)^4 ?
The derivative of (3x^2-1)^4 is 24x(3x^2-1)^3
What is the first derivative of (3x^2-1)^4 ?
The first derivative of (3x^2-1)^4 is 24x(3x^2-1)^3