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}

(2 x + 1) ln (x)

2 y d x + e^{- 3 x} d y = 0

\int \frac{x ^{2} + x - 5}{x ^{2} - 1} d x

\int \frac{5}{8 x ( x + 1 ) ^{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