What is the derivative of y=5x^4-x^2+6 ?

The derivative of y=5x^4-x^2+6 is 20x^3-2x

What is the first derivative of y=5x^4-x^2+6 ?

The first derivative of y=5x^4-x^2+6 is 20x^3-2x

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derivative of

y = 5 x^{4} - x^{2} + 6

20 x^{3} - 2 x

Solution steps

\frac{d}{d x} (5 x^{4} - x^{2} + 6)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{4}) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (6)

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

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

\frac{d}{d x} (6) = 0

= 20 x^{3} - 2 x + 0

Simplify

= 20 x^{3} - 2 x

\frac{d}{d x} (2 x + 9)

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

(x^{3} + 6) e^{x}

\frac{d}{d x} (lo g_{3} (4 x - 3))

\int cot^{3} (\frac{x}{2}) csc^{4} (\frac{x}{2}) d x

What is the derivative of y=5x^4-x^2+6 ?
The derivative of y=5x^4-x^2+6 is 20x^3-2x
What is the first derivative of y=5x^4-x^2+6 ?
The first derivative of y=5x^4-x^2+6 is 20x^3-2x