What is the derivative of 3x^5-30x^3 ?

The derivative of 3x^5-30x^3 is 15x^4-90x^2

What is the first derivative of 3x^5-30x^3 ?

The first derivative of 3x^5-30x^3 is 15x^4-90x^2

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\frac{d}{d x} (3 x^{5} - 30 x^{3})

15 x^{4} - 90 x^{2}

Solution steps

\frac{d}{d x} (3 x^{5} - 30 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{5}) - \frac{d}{d x} (30 x^{3})

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

\frac{d}{d x} (30 x^{3}) = 90 x^{2}

= 15 x^{4} - 90 x^{2}

f (x) = 5 x^{2} - 3 x + 7

\frac{\partial}{\partial x} (\frac{x ^{3}}{3} + 4 y)

\frac{d y}{d x} = x^{6} y^{- 7}

1 - y^{2}

\frac{d y}{d x} = x^{8} e^{x^{9}}

What is the derivative of 3x^5-30x^3 ?
The derivative of 3x^5-30x^3 is 15x^4-90x^2
What is the first derivative of 3x^5-30x^3 ?
The first derivative of 3x^5-30x^3 is 15x^4-90x^2