What is (\partial)/(\partial x)((7x+2)(9x-4)) ?

The answer to (\partial)/(\partial x)((7x+2)(9x-4)) is 126x-10

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(\partial)/(\partial x)((7x+2)(9x-4))

\frac{\partial}{\partial x} ((7 x + 2) (9 x - 4))

126 x - 10

Solution steps

\frac{\partial}{\partial x} ((7 x + 2) (9 x - 4))

Apply the Product Rule:

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

f = 7 x + 2, g = 9 x - 4

= \frac{\partial}{\partial x} (7 x + 2) (9 x - 4) + \frac{\partial}{\partial x} (9 x - 4) (7 x + 2)

\frac{\partial}{\partial x} (7 x + 2) = 7

\frac{\partial}{\partial x} (9 x - 4) = 9

= 7 (9 x - 4) + 9 (7 x + 2)

Simplify

7 (9 x - 4) + 9 (7 x + 2) : 126 x - 10

= 126 x - 10

y = x^{3} - x^{2} - 12 x, x = - 3, x = 0

\frac{d}{d x} (\frac{- sin ^{3} ( ln ( x ) )}{x})

x (x - 1) y^{^{''}} - x y^{^{'}} + y = 0

- 2 t (6 t^{6} - 1)^{6}

\frac{x}{2 x - 1}

What is (\partial)/(\partial x)((7x+2)(9x-4)) ?
The answer to (\partial)/(\partial x)((7x+2)(9x-4)) is 126x-10