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Popular >

derivative of f(x)=(3x^2+4x-19)^{15}

Solution

derivative of

f (x) = (3 x^{2} + 4 x - 19)^{15}

Solution

15 (3 x^{2} + 4 x - 19)^{14} (6 x + 4)

Solution steps

\frac{d}{d x} ((3 x^{2} + 4 x - 19)^{15})

Apply the chain rule:

15 (3 x^{2} + 4 x - 19)^{14} \frac{d}{d x} (3 x^{2} + 4 x - 19)

= 15 (3 x^{2} + 4 x - 19)^{14} \frac{d}{d x} (3 x^{2} + 4 x - 19)

\frac{d}{d x} (3 x^{2} + 4 x - 19) = 6 x + 4

= 15 (3 x^{2} + 4 x - 19)^{14} (6 x + 4)

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(3x^2+4x-19)^{15} ?
The derivative of f(x)=(3x^2+4x-19)^{15} is 15(3x^2+4x-19)^{14}(6x+4)
What is the first derivative of f(x)=(3x^2+4x-19)^{15} ?
The first derivative of f(x)=(3x^2+4x-19)^{15} is 15(3x^2+4x-19)^{14}(6x+4)