What is the derivative of f(x)=(x^2-1)^2 ?

The derivative of f(x)=(x^2-1)^2 is 4x(x^2-1)

What is the first derivative of f(x)=(x^2-1)^2 ?

The first derivative of f(x)=(x^2-1)^2 is 4x(x^2-1)

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derivative of

f (x) = (x^{2} - 1)^{2}

4 x (x^{2} - 1)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

(1, 2), (1, - 5)

(- 4, π)

4 x^{3}

(- 4.2) (8.5)

(2, \frac{11 π}{6})

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