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

The derivative of 3x^3-2x^2-5x+2 is 9x^2-4x-5

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

The first derivative of 3x^3-2x^2-5x+2 is 9x^2-4x-5

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

9 x^{2} - 4 x - 5

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

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

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

\frac{d}{d x} (2) = 0

= 9 x^{2} - 4 x - 5 + 0

Simplify

= 9 x^{2} - 4 x - 5

x \to 0 lim (x csc (3 x))

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

\int (6 sin (x) + 3 sinh (x)) d x

\int \frac{2 x + 1}{x ^{2} + 1} d x

\int \frac{x}{x ^{2} + 4 x + 8} d x

What is the derivative of 3x^3-2x^2-5x+2 ?
The derivative of 3x^3-2x^2-5x+2 is 9x^2-4x-5
What is the first derivative of 3x^3-2x^2-5x+2 ?
The first derivative of 3x^3-2x^2-5x+2 is 9x^2-4x-5