What is the derivative of f(x)=2x^3-5x^2+10x+2 ?

The derivative of f(x)=2x^3-5x^2+10x+2 is 6x^2-10x+10

What is the first derivative of f(x)=2x^3-5x^2+10x+2 ?

The first derivative of f(x)=2x^3-5x^2+10x+2 is 6x^2-10x+10

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derivative of

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

6 x^{2} - 10 x + 10

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

= 6 x^{2} - 10 x + 10 + 0

Simplify

= 6 x^{2} - 10 x + 10

\frac{1}{( x + 1 )}

\frac{1}{( x ^{2} + a ^{2} )}

y = (1 0^{x})^{2}

x^{3} + 6 x^{2} + 12 x - 13

lo g_{10} (\frac{1}{x})

What is the derivative of f(x)=2x^3-5x^2+10x+2 ?
The derivative of f(x)=2x^3-5x^2+10x+2 is 6x^2-10x+10
What is the first derivative of f(x)=2x^3-5x^2+10x+2 ?
The first derivative of f(x)=2x^3-5x^2+10x+2 is 6x^2-10x+10