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

The derivative of f(x)=(x-2)(5x+3) is 10x-7

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

The first derivative of f(x)=(x-2)(5x+3) is 10x-7

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derivative of

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

10 x - 7

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

1 \cdot (5 x + 3) + 5 (x - 2) : 10 x - 7

= 10 x - 7

What is the derivative of f(x)=(x-2)(5x+3) ?
The derivative of f(x)=(x-2)(5x+3) is 10x-7
What is the first derivative of f(x)=(x-2)(5x+3) ?
The first derivative of f(x)=(x-2)(5x+3) is 10x-7