What is the derivative of cot^7(x) ?

The derivative of cot^7(x) is -7cot^6(x)csc^2(x)

What is the first derivative of cot^7(x) ?

The first derivative of cot^7(x) is -7cot^6(x)csc^2(x)

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\frac{d}{d x} (cot^{7} (x))

- 7 cot^{6} (x) csc^{2} (x)

Solution steps

\frac{d}{d x} (cot^{7} (x))

Apply the chain rule:

7 (cot (x))^{6} \frac{d}{d x} (cot (x))

= 7 (cot (x))^{6} \frac{d}{d x} (cot (x))

\frac{d}{d x} (cot (x)) = - csc^{2} (x)

= 7 (cot (x))^{6} (- csc^{2} (x))

Simplify

= - 7 cot^{6} (x) csc^{2} (x)

2 y y^{^{'}} + 2 = y^{2} + 2 x, y (0) = 4

\frac{2 x}{( x ^{2} + 1 ) ^{2}}

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

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

\frac{\partial}{\partial x} (ln (2 x - y))

What is the derivative of cot^7(x) ?
The derivative of cot^7(x) is -7cot^6(x)csc^2(x)
What is the first derivative of cot^7(x) ?
The first derivative of cot^7(x) is -7cot^6(x)csc^2(x)