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

The derivative of (-3x^5-3^3) is -45x^4(-3x^5-3)^2

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

The first derivative of (-3x^5-3^3) is -45x^4(-3x^5-3)^2

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

- 45 x^{4} (- 3 x^{5} - 3)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (- 3 x^{5} - 3)^{2} (- 15 x^{4})

Simplify

= - 45 x^{4} (- 3 x^{5} - 3)^{2}

\int x (1 - x)^{\frac{2}{3}} d x

x \to 0 + lim (2 x^{3 x})

\frac{d}{d x} (\frac{1}{x ^{3} + 4 x ^{2}})

\frac{d}{d x} (x^{2} cos (x) - 2 x sin (x) - 2 cos (x))

\int 7 tan^{2} (x) + tan^{4} (x) d x

What is the derivative of (-3x^5-3^3) ?
The derivative of (-3x^5-3^3) is -45x^4(-3x^5-3)^2
What is the first derivative of (-3x^5-3^3) ?
The first derivative of (-3x^5-3^3) is -45x^4(-3x^5-3)^2