What is the derivative of f(x)=(6x-x^3)(5x+2) ?

The derivative of f(x)=(6x-x^3)(5x+2) is -20x^3-6x^2+60x+12

What is the first derivative of f(x)=(6x-x^3)(5x+2) ?

The first derivative of f(x)=(6x-x^3)(5x+2) is -20x^3-6x^2+60x+12

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derivative of

f (x) = (6 x - x^{3}) (5 x + 2)

- 20 x^{3} - 6 x^{2} + 60 x + 12

Solution steps

\frac{d}{d x} ((6 x - x^{3}) (5 x + 2))

Apply the Product Rule:

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

f = 6 x - x^{3}, g = 5 x + 2

= \frac{d}{d x} (6 x - x^{3}) (5 x + 2) + \frac{d}{d x} (5 x + 2) (6 x - x^{3})

\frac{d}{d x} (6 x - x^{3}) = 6 - 3 x^{2}

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

= (6 - 3 x^{2}) (5 x + 2) + 5 (6 x - x^{3})

Simplify

(6 - 3 x^{2}) (5 x + 2) + 5 (6 x - x^{3}) : - 20 x^{3} - 6 x^{2} + 60 x + 12

= - 20 x^{3} - 6 x^{2} + 60 x + 12

\int_{1}^{e^{5}} x^{3} ln (x) d x

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

f (x) = e^{x}, at x = 0.3

32 x

t^{2} cos (k t)

What is the derivative of f(x)=(6x-x^3)(5x+2) ?
The derivative of f(x)=(6x-x^3)(5x+2) is -20x^3-6x^2+60x+12
What is the first derivative of f(x)=(6x-x^3)(5x+2) ?
The first derivative of f(x)=(6x-x^3)(5x+2) is -20x^3-6x^2+60x+12