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Popular >

derivative of (7x+1)(x^2-6)

Solution

derivative of

(7 x + 1) (x^{2} - 6)

Solution

21 x^{2} + 2 x - 42

Solution steps

\frac{d}{d x} ((7 x + 1) (x^{2} - 6))

Apply the Product Rule:

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

f = 7 x + 1, g = x^{2} - 6

= \frac{d}{d x} (7 x + 1) (x^{2} - 6) + \frac{d}{d x} (x^{2} - 6) (7 x + 1)

\frac{d}{d x} (7 x + 1) = 7

\frac{d}{d x} (x^{2} - 6) = 2 x

= 7 (x^{2} - 6) + 2 x (7 x + 1)

Simplify

7 (x^{2} - 6) + 2 x (7 x + 1) : 21 x^{2} + 2 x - 42

= 21 x^{2} + 2 x - 42

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Frequently Asked Questions (FAQ)

What is the derivative of (7x+1)(x^2-6) ?
The derivative of (7x+1)(x^2-6) is 21x^2+2x-42
What is the first derivative of (7x+1)(x^2-6) ?
The first derivative of (7x+1)(x^2-6) is 21x^2+2x-42