What is the derivative of (x^2+4)(2x-6) ?

The derivative of (x^2+4)(2x-6) is 6x^2-12x+8

What is the first derivative of (x^2+4)(2x-6) ?

The first derivative of (x^2+4)(2x-6) is 6x^2-12x+8

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derivative of

(x^{2} + 4) (2 x - 6)

6 x^{2} - 12 x + 8

Solution steps

\frac{d}{d x} ((x^{2} + 4) (2 x - 6))

Apply the Product Rule:

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

f = x^{2} + 4, g = 2 x - 6

= \frac{d}{d x} (x^{2} + 4) (2 x - 6) + \frac{d}{d x} (2 x - 6) (x^{2} + 4)

\frac{d}{d x} (x^{2} + 4) = 2 x

\frac{d}{d x} (2 x - 6) = 2

= 2 x (2 x - 6) + 2 (x^{2} + 4)

Simplify

2 x (2 x - 6) + 2 (x^{2} + 4) : 6 x^{2} - 12 x + 8

= 6 x^{2} - 12 x + 8

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

\int x^{5} cos (x^{2}) d x

x \to 1 - lim (\frac{7}{1 - x})

\int \frac{x}{1 - 4 x ^{2}} d x

\int \frac{5 x}{( 7 - x ^{2} ) ^{3}} d x

What is the derivative of (x^2+4)(2x-6) ?
The derivative of (x^2+4)(2x-6) is 6x^2-12x+8
What is the first derivative of (x^2+4)(2x-6) ?
The first derivative of (x^2+4)(2x-6) is 6x^2-12x+8