What is the derivative of (7-3x(x+5)) ?

The derivative of (7-3x(x+5)) is -6x-8

What is the first derivative of (7-3x(x+5)) ?

The first derivative of (7-3x(x+5)) is -6x-8

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\frac{d}{d x} ((7 - 3 x) (x + 5))

- 6 x - 8

Solution steps

\frac{d}{d x} ((7 - 3 x) (x + 5))

Apply the Product Rule:

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

f = 7 - 3 x, g = x + 5

= \frac{d}{d x} (7 - 3 x) (x + 5) + \frac{d}{d x} (x + 5) (7 - 3 x)

\frac{d}{d x} (7 - 3 x) = - 3

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

= (- 3) (x + 5) + 1 \cdot (7 - 3 x)

Simplify

(- 3) (x + 5) + 1 \cdot (7 - 3 x) : - 6 x - 8

= - 6 x - 8

y^{^{'}} + 3 y = cos (x)

4 y^{^{''}} + y^{^{'}} + 8 y = 0

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

x \to 5 lim (5 + x^{4})

\int e^{- s t} (t) d t

What is the derivative of (7-3x(x+5)) ?
The derivative of (7-3x(x+5)) is -6x-8
What is the first derivative of (7-3x(x+5)) ?
The first derivative of (7-3x(x+5)) is -6x-8