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Popular >

derivative of f(x)=(8x+9)(9x-10)

Solution

derivative of

f (x) = (8 x + 9) (9 x - 10)

Solution

144 x + 1

Solution steps

\frac{d}{d x} ((8 x + 9) (9 x - 10))

Apply the Product Rule:

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

f = 8 x + 9, g = 9 x - 10

= \frac{d}{d x} (8 x + 9) (9 x - 10) + \frac{d}{d x} (9 x - 10) (8 x + 9)

\frac{d}{d x} (8 x + 9) = 8

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

= 8 (9 x - 10) + 9 (8 x + 9)

Simplify

8 (9 x - 10) + 9 (8 x + 9) : 144 x + 1

= 144 x + 1

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(8x+9)(9x-10) ?
The derivative of f(x)=(8x+9)(9x-10) is 144x+1
What is the first derivative of f(x)=(8x+9)(9x-10) ?
The first derivative of f(x)=(8x+9)(9x-10) is 144x+1