What is the derivative of f(x)=3x^3+6x^2+7x ?

The derivative of f(x)=3x^3+6x^2+7x is 9x^2+12x+7

What is the first derivative of f(x)=3x^3+6x^2+7x ?

The first derivative of f(x)=3x^3+6x^2+7x is 9x^2+12x+7

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derivative of

f (x) = 3 x^{3} + 6 x^{2} + 7 x

9 x^{2} + 12 x + 7

Solution steps

\frac{d}{d x} (3 x^{3} + 6 x^{2} + 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) + \frac{d}{d x} (6 x^{2}) + \frac{d}{d x} (7 x)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (7 x) = 7

= 9 x^{2} + 12 x + 7

\int \frac{2 x ^{4} + x ^{2} - x - 2}{x ^{3} ( x + 1 )} d x

\int 2 x sin (x) d x

y^{^{'}} + 8 y = t + e^{- 7 t}

5 x^{3} - 6 cos (x)

f (x) = \frac{2}{x - 8}, (10, 1)

What is the derivative of f(x)=3x^3+6x^2+7x ?
The derivative of f(x)=3x^3+6x^2+7x is 9x^2+12x+7
What is the first derivative of f(x)=3x^3+6x^2+7x ?
The first derivative of f(x)=3x^3+6x^2+7x is 9x^2+12x+7