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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

y^{^{''}} - 289 y = 0

\frac{d}{d x} (2 cos (sin (x)))

y = 2 x^{2} + \frac{3}{x}

\int 4 sin^{3} (6 x) cos^{3} (6 x) d x

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

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