What is the derivative of 3x^5+2x^3+5x ?

The derivative of 3x^5+2x^3+5x is 15x^4+6x^2+5

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

The first derivative of 3x^5+2x^3+5x is 15x^4+6x^2+5

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derivative of

3 x^{5} + 2 x^{3} + 5 x

15 x^{4} + 6 x^{2} + 5

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

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

= 15 x^{4} + 6 x^{2} + 5

\frac{3}{( r - 2 ) ^{2}}

x = 5 + 6 t + 7 t^{2}

\frac{d}{d t} (- 200 t + 9000)

3 x^{\frac{1}{2}} + x^{2}

y = 2 x + cos (x)

What is the derivative of 3x^5+2x^3+5x ?
The derivative of 3x^5+2x^3+5x is 15x^4+6x^2+5
What is the first derivative of 3x^5+2x^3+5x ?
The first derivative of 3x^5+2x^3+5x is 15x^4+6x^2+5