What is the derivative of (2x^2-1^6) ?

The derivative of (2x^2-1^6) is 24x(2x^2-1)^5

What is the first derivative of (2x^2-1^6) ?

The first derivative of (2x^2-1^6) is 24x(2x^2-1)^5

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\frac{d}{d x} ((2 x^{2} - 1)^{6})

24 x (2 x^{2} - 1)^{5}

Solution steps

\frac{d}{d x} ((2 x^{2} - 1)^{6})

Apply the chain rule:

6 (2 x^{2} - 1)^{5} \frac{d}{d x} (2 x^{2} - 1)

= 6 (2 x^{2} - 1)^{5} \frac{d}{d x} (2 x^{2} - 1)

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

= 6 (2 x^{2} - 1)^{5} \cdot 4 x

Simplify

= 24 x (2 x^{2} - 1)^{5}

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

\frac{\partial}{\partial x} (\frac{x}{x ^{2} + y ^{3}})

y^{^{'}} + 7 = e^{7 x + y - 5}, y (0) = 5

n = 0 \sum \infty \frac{n + 2}{n + 1}

\frac{1}{4} x^{2} - 1, 0, 2, 8

What is the derivative of (2x^2-1^6) ?
The derivative of (2x^2-1^6) is 24x(2x^2-1)^5
What is the first derivative of (2x^2-1^6) ?
The first derivative of (2x^2-1^6) is 24x(2x^2-1)^5