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

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

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

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

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

- 10 x (5 - x^{2})^{4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 10 x (5 - x^{2})^{4}

x \to 0 + lim (x^{- 2})

x \to 2 lim (ln ∣ 2 - x ∣)

\int 5 x^{2} e^{x^{3}} d x

\frac{d}{d x} ((2 x - 3)^{5} (x^{2} + 4 x)^{6})

\int tan^{4} (\frac{x}{3}) d x

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