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Popular >

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

Solution

\frac{d}{d x} ((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

Popular Examples

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n = 0 \sum \infty \frac{2}{7 ^{n}}

limit as x approaches 2-of arcsin(x-1)

x \to 2 - lim (arcsin (x - 1))

limit as x approaches pi of 1/(x-pi)

x \to π lim (\frac{1}{x - π})

Frequently Asked Questions (FAQ)

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