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Popular >

derivative of (-2x^2-2x+3^5)

Solution

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

Solution

5 (- 2 x^{2} - 2 x + 3)^{4} (- 4 x - 2)

Solution steps

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

Apply the chain rule:

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

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

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

= 5 (- 2 x^{2} - 2 x + 3)^{4} (- 4 x - 2)

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Frequently Asked Questions (FAQ)

What is the derivative of (-2x^2-2x+3^5) ?
The derivative of (-2x^2-2x+3^5) is 5(-2x^2-2x+3)^4(-4x-2)
What is the first derivative of (-2x^2-2x+3^5) ?
The first derivative of (-2x^2-2x+3^5) is 5(-2x^2-2x+3)^4(-4x-2)