What is the derivative of 3x^3+5x^2-4x+10 ?

The derivative of 3x^3+5x^2-4x+10 is 9x^2+10x-4

What is the first derivative of 3x^3+5x^2-4x+10 ?

The first derivative of 3x^3+5x^2-4x+10 is 9x^2+10x-4

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\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

9 x^{2} + 10 x - 4

Solution steps

\frac{d}{d x} (3 x^{3} + 5 x^{2} - 4 x + 10)

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (10) = 0

= 9 x^{2} + 10 x - 4 + 0

Simplify

= 9 x^{2} + 10 x - 4

What is the derivative of 3x^3+5x^2-4x+10 ?
The derivative of 3x^3+5x^2-4x+10 is 9x^2+10x-4
What is the first derivative of 3x^3+5x^2-4x+10 ?
The first derivative of 3x^3+5x^2-4x+10 is 9x^2+10x-4