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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{5}{2 s ^{2} + 3 s + 1}

(2 x + 1)^{3}

\int x^{2} sin (π x) d x

f (t) = e^{- 3 t} + 3

\frac{d}{d x} (x^{2} - ln (x))

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