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Popular >

derivative of (4x+3)(2x^2+7x-1)

Solution

derivative of

(4 x + 3) (2 x^{2} + 7 x - 1)

Solution

24 x^{2} + 68 x + 17

Solution steps

\frac{d}{d x} ((4 x + 3) (2 x^{2} + 7 x - 1))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 4 x + 3, g = 2 x^{2} + 7 x - 1

= \frac{d}{d x} (4 x + 3) (2 x^{2} + 7 x - 1) + \frac{d}{d x} (2 x^{2} + 7 x - 1) (4 x + 3)

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

\frac{d}{d x} (2 x^{2} + 7 x - 1) = 4 x + 7

= 4 (2 x^{2} + 7 x - 1) + (4 x + 7) (4 x + 3)

Simplify

4 (2 x^{2} + 7 x - 1) + (4 x + 7) (4 x + 3) : 24 x^{2} + 68 x + 17

= 24 x^{2} + 68 x + 17

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\int_{1}^{13} 4 x^{- 2} d x

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Frequently Asked Questions (FAQ)

What is the derivative of (4x+3)(2x^2+7x-1) ?
The derivative of (4x+3)(2x^2+7x-1) is 24x^2+68x+17
What is the first derivative of (4x+3)(2x^2+7x-1) ?
The first derivative of (4x+3)(2x^2+7x-1) is 24x^2+68x+17