What is the derivative of y=x^5+x^3-x+10 ?

The derivative of y=x^5+x^3-x+10 is 5x^4+3x^2-1

What is the first derivative of y=x^5+x^3-x+10 ?

The first derivative of y=x^5+x^3-x+10 is 5x^4+3x^2-1

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derivative of

y = x^{5} + x^{3} - x + 10

5 x^{4} + 3 x^{2} - 1

Solution steps

\frac{d}{d x} (x^{5} + x^{3} - x + 10)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) + \frac{d}{d x} (x^{3}) - \frac{d x}{d x} + \frac{d}{d x} (10)

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

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

\frac{d x}{d x} = 1

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

= 5 x^{4} + 3 x^{2} - 1 + 0

Simplify

= 5 x^{4} + 3 x^{2} - 1

What is the derivative of y=x^5+x^3-x+10 ?
The derivative of y=x^5+x^3-x+10 is 5x^4+3x^2-1
What is the first derivative of y=x^5+x^3-x+10 ?
The first derivative of y=x^5+x^3-x+10 is 5x^4+3x^2-1