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

The derivative of x^4-4x^3+10 is 4x^3-12x^2

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

The first derivative of x^4-4x^3+10 is 4x^3-12x^2

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

4 x^{3} - 12 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x^{4}) = 4 x^{3}

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

= 4 x^{3} - 12 x^{2} + 0

Simplify

= 4 x^{3} - 12 x^{2}

x \to 0 lim (8 e^{x} sin (x))

f (x) = x^{2} ln (x^{3})

\frac{1}{4} y^{^{''}} + 10 y^{^{'}} + 1000 y = 0

\frac{d}{d x} (\frac{f ( x )}{x ^{9}})

f (x) = x - 3, at x = 19

What is the derivative of x^4-4x^3+10 ?
The derivative of x^4-4x^3+10 is 4x^3-12x^2
What is the first derivative of x^4-4x^3+10 ?
The first derivative of x^4-4x^3+10 is 4x^3-12x^2