What is the derivative of (8x^2-2x(5x+9)) ?

The derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18

What is the first derivative of (8x^2-2x(5x+9)) ?

The first derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18

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\frac{d}{d x} ((8 x^{2} - 2 x) (5 x + 9))

120 x^{2} + 124 x - 18

Solution steps

\frac{d}{d x} ((8 x^{2} - 2 x) (5 x + 9))

Apply the Product Rule:

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

f = 8 x^{2} - 2 x, g = 5 x + 9

= \frac{d}{d x} (8 x^{2} - 2 x) (5 x + 9) + \frac{d}{d x} (5 x + 9) (8 x^{2} - 2 x)

\frac{d}{d x} (8 x^{2} - 2 x) = 16 x - 2

\frac{d}{d x} (5 x + 9) = 5

= (16 x - 2) (5 x + 9) + 5 (8 x^{2} - 2 x)

Simplify

(16 x - 2) (5 x + 9) + 5 (8 x^{2} - 2 x) : 120 x^{2} + 124 x - 18

= 120 x^{2} + 124 x - 18

y^{^{''}} - 4 y^{^{'}} + 53 y = 0

\frac{d}{d x} ((x^{5} + 1)^{6})

x \to 5 lim (\frac{x}{x + 1})

I nb x^{4}

\int 5 e^{x} - 3 cosh (x) d x

What is the derivative of (8x^2-2x(5x+9)) ?
The derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18
What is the first derivative of (8x^2-2x(5x+9)) ?
The first derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18