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

The derivative of f(x)=(6x+5)(x^3-2) is 24x^3+15x^2-12

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

The first derivative of f(x)=(6x+5)(x^3-2) is 24x^3+15x^2-12

Popular >

derivative of

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

24 x^{3} + 15 x^{2} - 12

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d}{d x} (6 x + 5) = 6

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

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

Simplify

6 (x^{3} - 2) + 3 x^{2} (6 x + 5) : 24 x^{3} + 15 x^{2} - 12

= 24 x^{3} + 15 x^{2} - 12

x \to + 3 lim (0)

- \frac{y}{x + 5 e}

\int cos^{4} (x) sin^{3} (x) d x

sin (6 x)

x \to 0 lim (x^{3} sin (x))

What is the derivative of f(x)=(6x+5)(x^3-2) ?
The derivative of f(x)=(6x+5)(x^3-2) is 24x^3+15x^2-12
What is the first derivative of f(x)=(6x+5)(x^3-2) ?
The first derivative of f(x)=(6x+5)(x^3-2) is 24x^3+15x^2-12