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Popular >

derivative of f(x)=(3x-1)(5x+2)

Solution

derivative of

f (x) = (3 x - 1) (5 x + 2)

Solution

30 x + 1

Solution steps

\frac{d}{d x} ((3 x - 1) (5 x + 2))

Apply the Product Rule:

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

f = 3 x - 1, g = 5 x + 2

= \frac{d}{d x} (3 x - 1) (5 x + 2) + \frac{d}{d x} (5 x + 2) (3 x - 1)

\frac{d}{d x} (3 x - 1) = 3

\frac{d}{d x} (5 x + 2) = 5

= 3 (5 x + 2) + 5 (3 x - 1)

Simplify

3 (5 x + 2) + 5 (3 x - 1) : 30 x + 1

= 30 x + 1

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(3x-1)(5x+2) ?
The derivative of f(x)=(3x-1)(5x+2) is 30x+1
What is the first derivative of f(x)=(3x-1)(5x+2) ?
The first derivative of f(x)=(3x-1)(5x+2) is 30x+1