What is the derivative of (1-x^2^5) ?

The derivative of (1-x^2^5) is -10x(1-x^2)^4

What is the first derivative of (1-x^2^5) ?

The first derivative of (1-x^2^5) is -10x(1-x^2)^4

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\frac{d}{d x} ((1 - x^{2})^{5})

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

Solution steps

\frac{d}{d x} ((1 - x^{2})^{5})

Apply the chain rule:

5 (1 - x^{2})^{4} \frac{d}{d x} (1 - x^{2})

= 5 (1 - x^{2})^{4} \frac{d}{d x} (1 - x^{2})

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

= 5 (1 - x^{2})^{4} (- 2 x)

Simplify

= - 10 x (1 - x^{2})^{4}

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

\int \frac{- y}{1 + y ^{2}} d y

\int_{0}^{2} \frac{1}{4 - x ^{2}} d x

(e^{y} + 6 x) d x + x e^{y} d y = 0

x \to \frac{1}{2} lim (4 x^{2} - 8 x + 5)

What is the derivative of (1-x^2^5) ?
The derivative of (1-x^2^5) is -10x(1-x^2)^4
What is the first derivative of (1-x^2^5) ?
The first derivative of (1-x^2^5) is -10x(1-x^2)^4