What is the derivative of f(x)=(x-6)(3x+5) ?

The derivative of f(x)=(x-6)(3x+5) is 6x-13

What is the first derivative of f(x)=(x-6)(3x+5) ?

The first derivative of f(x)=(x-6)(3x+5) is 6x-13

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derivative of

f (x) = (x - 6) (3 x + 5)

6 x - 13

Solution steps

\frac{d}{d x} ((x - 6) (3 x + 5))

Apply the Product Rule:

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

f = x - 6, g = 3 x + 5

= \frac{d}{d x} (x - 6) (3 x + 5) + \frac{d}{d x} (3 x + 5) (x - 6)

\frac{d}{d x} (x - 6) = 1

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

= 1 \cdot (3 x + 5) + 3 (x - 6)

Simplify

1 \cdot (3 x + 5) + 3 (x - 6) : 6 x - 13

= 6 x - 13

What is the derivative of f(x)=(x-6)(3x+5) ?
The derivative of f(x)=(x-6)(3x+5) is 6x-13
What is the first derivative of f(x)=(x-6)(3x+5) ?
The first derivative of f(x)=(x-6)(3x+5) is 6x-13