What is the derivative of (3x^2-5x^3) ?

The derivative of (3x^2-5x^3) is 3(3x^2-5x)^2(6x-5)

What is the first derivative of (3x^2-5x^3) ?

The first derivative of (3x^2-5x^3) is 3(3x^2-5x)^2(6x-5)

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

3 (3 x^{2} - 5 x)^{2} (6 x - 5)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} - 5 x) = 6 x - 5

= 3 (3 x^{2} - 5 x)^{2} (6 x - 5)

x \to + 5 lim (5 - x)

\int_{2}^{3} \frac{1}{x ^{\frac{2}{3}}} d x

\int 3 x^{2} 3 (5 x^{3} + 4)^{5} d x

\frac{d}{d x} (4 x^{\frac{5}{3}} - 3 x^{- 2} - 12)

2 3 x, at x = 1

What is the derivative of (3x^2-5x^3) ?
The derivative of (3x^2-5x^3) is 3(3x^2-5x)^2(6x-5)
What is the first derivative of (3x^2-5x^3) ?
The first derivative of (3x^2-5x^3) is 3(3x^2-5x)^2(6x-5)