What is the derivative of (5x^2+4)(3x-2) ?

The derivative of (5x^2+4)(3x-2) is 45x^2-20x+12

What is the first derivative of (5x^2+4)(3x-2) ?

The first derivative of (5x^2+4)(3x-2) is 45x^2-20x+12

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derivative of

(5 x^{2} + 4) (3 x - 2)

45 x^{2} - 20 x + 12

Solution steps

\frac{d}{d x} ((5 x^{2} + 4) (3 x - 2))

Apply the Product Rule:

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

f = 5 x^{2} + 4, g = 3 x - 2

= \frac{d}{d x} (5 x^{2} + 4) (3 x - 2) + \frac{d}{d x} (3 x - 2) (5 x^{2} + 4)

\frac{d}{d x} (5 x^{2} + 4) = 10 x

\frac{d}{d x} (3 x - 2) = 3

= 10 x (3 x - 2) + 3 (5 x^{2} + 4)

Simplify

10 x (3 x - 2) + 3 (5 x^{2} + 4) : 45 x^{2} - 20 x + 12

= 45 x^{2} - 20 x + 12

\int x sin (n x) d x

\frac{d}{d x} (- 2 cot (x))

\frac{1}{7 x ^{\frac{6}{7}}}

8 x e^{x}, 0

\int ln (x^{2} + y^{2}) d x

What is the derivative of (5x^2+4)(3x-2) ?
The derivative of (5x^2+4)(3x-2) is 45x^2-20x+12
What is the first derivative of (5x^2+4)(3x-2) ?
The first derivative of (5x^2+4)(3x-2) is 45x^2-20x+12