What is the derivative of (2x+1(x-5)) ?

The derivative of (2x+1(x-5)) is 4x-9

What is the first derivative of (2x+1(x-5)) ?

The first derivative of (2x+1(x-5)) is 4x-9

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

4 x - 9

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

2 (x - 5) + 1 \cdot (2 x + 1) : 4 x - 9

= 4 x - 9

\int \frac{21 π}{2} cos (\frac{21 π x}{2}) d x

\frac{d}{d x} (x + 2 \cdot sin (x))

x \to 0 lim (\frac{8}{2 + e ^{\frac{1}{x}}})

\frac{d}{d x} (\frac{2 cos ( x )}{1 + sin ( x )})

x \to \infty lim (x^{2} - x)

What is the derivative of (2x+1(x-5)) ?
The derivative of (2x+1(x-5)) is 4x-9
What is the first derivative of (2x+1(x-5)) ?
The first derivative of (2x+1(x-5)) is 4x-9