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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\frac{d}{d x} ((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}

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

(- \frac{2}{7}, \frac{2}{3}), (\frac{5}{7}, - \frac{7}{3})

x \to 1 lim (\frac{x - 1}{x ^{n} - 1})

(x + y)^{2} d x + (2 x y + x^{2} - 4) d y = 0

\frac{d}{d x} (5 e^{x} + 3)

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