What is the derivative of x^5-5x^3-20x-2 ?

The derivative of x^5-5x^3-20x-2 is 5x^4-15x^2-20

What is the first derivative of x^5-5x^3-20x-2 ?

The first derivative of x^5-5x^3-20x-2 is 5x^4-15x^2-20

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\frac{d}{d x} (x^{5} - 5 x^{3} - 20 x - 2)

5 x^{4} - 15 x^{2} - 20

Solution steps

\frac{d}{d x} (x^{5} - 5 x^{3} - 20 x - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (5 x^{3}) - \frac{d}{d x} (20 x) - \frac{d}{d x} (2)

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

\frac{d}{d x} (20 x) = 20

\frac{d}{d x} (2) = 0

= 5 x^{4} - 15 x^{2} - 20 - 0

Simplify

= 5 x^{4} - 15 x^{2} - 20

y = x^{2}, (0, 2)

\int cos (x) x^{2} d x

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

\frac{d}{d x} (x + 1 + cos (x^{2}))

\int t^{2} sec^{2} (t) d t

What is the derivative of x^5-5x^3-20x-2 ?
The derivative of x^5-5x^3-20x-2 is 5x^4-15x^2-20
What is the first derivative of x^5-5x^3-20x-2 ?
The first derivative of x^5-5x^3-20x-2 is 5x^4-15x^2-20