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Popular >

derivative of (2x-21(x^2+36))

Solution

\frac{d}{d x} ((2 x - 21) (x^{2} + 36))

Solution

6 x^{2} - 42 x + 72

Solution steps

\frac{d}{d x} ((2 x - 21) (x^{2} + 36))

Apply the Product Rule:

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

f = 2 x - 21, g = x^{2} + 36

= \frac{d}{d x} (2 x - 21) (x^{2} + 36) + \frac{d}{d x} (x^{2} + 36) (2 x - 21)

\frac{d}{d x} (2 x - 21) = 2

\frac{d}{d x} (x^{2} + 36) = 2 x

= 2 (x^{2} + 36) + 2 x (2 x - 21)

Simplify

2 (x^{2} + 36) + 2 x (2 x - 21) : 6 x^{2} - 42 x + 72

= 6 x^{2} - 42 x + 72

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Frequently Asked Questions (FAQ)

What is the derivative of (2x-21(x^2+36)) ?
The derivative of (2x-21(x^2+36)) is 6x^2-42x+72
What is the first derivative of (2x-21(x^2+36)) ?
The first derivative of (2x-21(x^2+36)) is 6x^2-42x+72