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

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

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

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

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

t \to - 2 lim ((t + 4)^{2})

x \to - 1 lim (5 x^{2})

x y + y^{^{'}} = 64 x

25 y^{^{''}} + 5 y = 0

f (x) = x^{2} + x, at x = 1

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