What is the derivative of f(x)=(x^5-x^3+3) ?

The derivative of f(x)=(x^5-x^3+3) is 5x^4-3x^2

What is the first derivative of f(x)=(x^5-x^3+3) ?

The first derivative of f(x)=(x^5-x^3+3) is 5x^4-3x^2

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derivative of

f (x) = (x^{5} - x^{3} + 3)

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

Solution steps

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

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}{d x} (3)

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

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

\frac{d}{d x} (3) = 0

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

Simplify

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

\int \frac{1}{x ( 5 + 3 ln ( x ) )} d x

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x \to 0 - lim (cos (\frac{1}{x}))

\int \frac{1}{1 ^{2} + 1 x ^{2}} d x

What is the derivative of f(x)=(x^5-x^3+3) ?
The derivative of f(x)=(x^5-x^3+3) is 5x^4-3x^2
What is the first derivative of f(x)=(x^5-x^3+3) ?
The first derivative of f(x)=(x^5-x^3+3) is 5x^4-3x^2