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Popular >

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

Solution

derivative of

y = (2 x - 1) (3 x + 4) (x + 7)

Solution

18 x^{2} + 94 x + 31

Solution steps

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

Apply the Product Rule:

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

f = 2 x - 1, g = (3 x + 4) (x + 7)

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

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

\frac{d}{d x} ((3 x + 4) (x + 7)) = 6 x + 25

= 2 (3 x + 4) (x + 7) + (6 x + 25) (2 x - 1)

Simplify

2 (3 x + 4) (x + 7) + (6 x + 25) (2 x - 1) : 18 x^{2} + 94 x + 31

= 18 x^{2} + 94 x + 31

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Frequently Asked Questions (FAQ)

What is the derivative of y=(2x-1)(3x+4)(x+7) ?
The derivative of y=(2x-1)(3x+4)(x+7) is 18x^2+94x+31
What is the first derivative of y=(2x-1)(3x+4)(x+7) ?
The first derivative of y=(2x-1)(3x+4)(x+7) is 18x^2+94x+31