What is the derivative of f(x)=6x^3-27/2 x^2+3 ?

The derivative of f(x)=6x^3-27/2 x^2+3 is 18x^2-27x

What is the first derivative of f(x)=6x^3-27/2 x^2+3 ?

The first derivative of f(x)=6x^3-27/2 x^2+3 is 18x^2-27x

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derivative of

f (x) = 6 x^{3} - \frac{27}{2} x^{2} + 3

18 x^{2} - 27 x

Solution steps

\frac{d}{d x} (6 x^{3} - \frac{27}{2} x^{2} + 3)

Simplify

6 x^{3} - \frac{27}{2} x^{2} + 3 : 6 x^{3} - \frac{27 x ^{2}}{2} + 3

= \frac{d}{d x} (6 x^{3} - \frac{27 x ^{2}}{2} + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{3}) - \frac{d}{d x} (\frac{27 x ^{2}}{2}) + \frac{d}{d x} (3)

\frac{d}{d x} (6 x^{3}) = 18 x^{2}

\frac{d}{d x} (\frac{27 x ^{2}}{2}) = 27 x

\frac{d}{d x} (3) = 0

= 18 x^{2} - 27 x + 0

Simplify

= 18 x^{2} - 27 x

\frac{d}{d x} ((8 x + 5)^{2})

\frac{8}{7 x ^{2}}

(5 x^{6} + 8 x^{3})^{4}

\frac{2}{s ( 0.12 s + 1 )}

x y^{^{'}} = y + 7 x^{2} sin (x)

What is the derivative of f(x)=6x^3-27/2 x^2+3 ?
The derivative of f(x)=6x^3-27/2 x^2+3 is 18x^2-27x
What is the first derivative of f(x)=6x^3-27/2 x^2+3 ?
The first derivative of f(x)=6x^3-27/2 x^2+3 is 18x^2-27x