What is the derivative of f(x)=(x^2-2)^2 ?

The derivative of f(x)=(x^2-2)^2 is 4x(x^2-2)

What is the first derivative of f(x)=(x^2-2)^2 ?

The first derivative of f(x)=(x^2-2)^2 is 4x(x^2-2)

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derivative of

f (x) = (x^{2} - 2)^{2}

4 x (x^{2} - 2)

Solution steps

\frac{d}{d x} ((x^{2} - 2)^{2})

Apply the chain rule:

2 (x^{2} - 2) \frac{d}{d x} (x^{2} - 2)

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

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

= 2 (x^{2} - 2) \cdot 2 x

Simplify

= 4 x (x^{2} - 2)

\frac{d}{d x} (ln (3 x^{2} + 2 x))

x \to 0 + lim (csc (x) - cot (x))

n = 5 \sum \infty \frac{6}{n ^{2} - 1}

5^{x}

(- 4, - 4), (- 3, 0)

What is the derivative of f(x)=(x^2-2)^2 ?
The derivative of f(x)=(x^2-2)^2 is 4x(x^2-2)
What is the first derivative of f(x)=(x^2-2)^2 ?
The first derivative of f(x)=(x^2-2)^2 is 4x(x^2-2)