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

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

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

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

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derivative of

y = 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}

2 x, x ∣ x + 2 ∣

\frac{d y}{d x} + 3 y = 10, y (0) = 20

x y = 24, 2 x^{2} - y^{2} + 4 = 0

\frac{d y}{d x} = \frac{x ^{2}}{10 y} - \frac{2 x}{5 y}

\frac{4}{3} π r^{3}

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