What is the derivative of (x-7)(2x-9) ?

The derivative of (x-7)(2x-9) is 4x-23

What is the first derivative of (x-7)(2x-9) ?

The first derivative of (x-7)(2x-9) is 4x-23

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derivative of

(x - 7) (2 x - 9)

4 x - 23

Solution steps

\frac{d}{d x} ((x - 7) (2 x - 9))

Apply the Product Rule:

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

f = x - 7, g = 2 x - 9

= \frac{d}{d x} (x - 7) (2 x - 9) + \frac{d}{d x} (2 x - 9) (x - 7)

\frac{d}{d x} (x - 7) = 1

\frac{d}{d x} (2 x - 9) = 2

= 1 \cdot (2 x - 9) + 2 (x - 7)

Simplify

1 \cdot (2 x - 9) + 2 (x - 7) : 4 x - 23

= 4 x - 23

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

\int e^{- θ} cos (2 θ) d θ

\int (2 x - 9) e^{2 x} d x

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

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

What is the derivative of (x-7)(2x-9) ?
The derivative of (x-7)(2x-9) is 4x-23
What is the first derivative of (x-7)(2x-9) ?
The first derivative of (x-7)(2x-9) is 4x-23