What is the derivative of (1-x^2)^{10} ?

The derivative of (1-x^2)^{10} is -20x(1-x^2)^9

What is the first derivative of (1-x^2)^{10} ?

The first derivative of (1-x^2)^{10} is -20x(1-x^2)^9

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derivative of

(1 - x^{2})^{10}

- 20 x (1 - x^{2})^{9}

Solution steps

\frac{d}{d x} ((1 - x^{2})^{10})

Apply the chain rule:

10 (1 - x^{2})^{9} \frac{d}{d x} (1 - x^{2})

= 10 (1 - x^{2})^{9} \frac{d}{d x} (1 - x^{2})

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

= 10 (1 - x^{2})^{9} (- 2 x)

Simplify

= - 20 x (1 - x^{2})^{9}

x^{3} y^{4}

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\frac{d}{d b} (2 b)

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\frac{d}{d t} (t^{2} + 5 t - 8)

What is the derivative of (1-x^2)^{10} ?
The derivative of (1-x^2)^{10} is -20x(1-x^2)^9
What is the first derivative of (1-x^2)^{10} ?
The first derivative of (1-x^2)^{10} is -20x(1-x^2)^9