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

The derivative of f(x)=(x-5)(3x+3) is 6x-12

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

The first derivative of f(x)=(x-5)(3x+3) is 6x-12

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derivative of

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

6 x - 12

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

1 \cdot (3 x + 3) + 3 (x - 5) : 6 x - 12

= 6 x - 12

\frac{\partial}{\partial x} (2 x^{2} + y^{2})

f (x) = e^{- 5 x^{4}}

y = 4 x + 2, 0, 4

x \to 5 lim (- x^{3})

\frac{1}{s + 1}

What is the derivative of f(x)=(x-5)(3x+3) ?
The derivative of f(x)=(x-5)(3x+3) is 6x-12
What is the first derivative of f(x)=(x-5)(3x+3) ?
The first derivative of f(x)=(x-5)(3x+3) is 6x-12