What is the derivative of (x^5-9x^2) ?

The derivative of (x^5-9x^2) is 2(x^5-9x)(5x^4-9)

What is the first derivative of (x^5-9x^2) ?

The first derivative of (x^5-9x^2) is 2(x^5-9x)(5x^4-9)

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\frac{d}{d x} ((x^{5} - 9 x)^{2})

2 (x^{5} - 9 x) (5 x^{4} - 9)

Solution steps

\frac{d}{d x} ((x^{5} - 9 x)^{2})

Apply the chain rule:

2 (x^{5} - 9 x) \frac{d}{d x} (x^{5} - 9 x)

= 2 (x^{5} - 9 x) \frac{d}{d x} (x^{5} - 9 x)

\frac{d}{d x} (x^{5} - 9 x) = 5 x^{4} - 9

= 2 (x^{5} - 9 x) (5 x^{4} - 9)

f (x) = 4 x^{3} - 5 x + 1

\frac{\partial}{\partial z} (2 x y + z^{2})

\frac{\partial}{\partial y} (y x^{2})

\int x (x - 2021) d x

\frac{d}{d x} (3 sin (x) + 3 x cos (x))

What is the derivative of (x^5-9x^2) ?
The derivative of (x^5-9x^2) is 2(x^5-9x)(5x^4-9)
What is the first derivative of (x^5-9x^2) ?
The first derivative of (x^5-9x^2) is 2(x^5-9x)(5x^4-9)