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Popular >

derivative of (5x^2-9(8x+3))

Solution

\frac{d}{d x} ((5 x^{2} - 9) (8 x + 3))

Solution

120 x^{2} + 30 x - 72

Solution steps

\frac{d}{d x} ((5 x^{2} - 9) (8 x + 3))

Apply the Product Rule:

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

f = 5 x^{2} - 9, g = 8 x + 3

= \frac{d}{d x} (5 x^{2} - 9) (8 x + 3) + \frac{d}{d x} (8 x + 3) (5 x^{2} - 9)

\frac{d}{d x} (5 x^{2} - 9) = 10 x

\frac{d}{d x} (8 x + 3) = 8

= 10 x (8 x + 3) + 8 (5 x^{2} - 9)

Simplify

10 x (8 x + 3) + 8 (5 x^{2} - 9) : 120 x^{2} + 30 x - 72

= 120 x^{2} + 30 x - 72

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Frequently Asked Questions (FAQ)

What is the derivative of (5x^2-9(8x+3)) ?
The derivative of (5x^2-9(8x+3)) is 120x^2+30x-72
What is the first derivative of (5x^2-9(8x+3)) ?
The first derivative of (5x^2-9(8x+3)) is 120x^2+30x-72