What is the derivative of cos^9(x) ?

The derivative of cos^9(x) is -9cos^8(x)sin(x)

What is the first derivative of cos^9(x) ?

The first derivative of cos^9(x) is -9cos^8(x)sin(x)

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derivative of

cos^{9} (x)

- 9 cos^{8} (x) sin (x)

Solution steps

\frac{d}{d x} (cos^{9} (x))

Apply the chain rule:

9 (cos (x))^{8} \frac{d}{d x} (cos (x))

= 9 (cos (x))^{8} \frac{d}{d x} (cos (x))

\frac{d}{d x} (cos (x)) = - sin (x)

= 9 (cos (x))^{8} (- sin (x))

Simplify

= - 9 cos^{8} (x) sin (x)

x \to - 5 + lim (25 - x^{2})

y^{^{''}} + y = cos (3 t), y (0) = 1, y^{^{'}} (0) = 0

f (x) = 8 x

x^{4} - 13 x^{2} + 36

\frac{d}{d x} (\frac{2 x ^{2}}{6 x + 1})

What is the derivative of cos^9(x) ?
The derivative of cos^9(x) is -9cos^8(x)sin(x)
What is the first derivative of cos^9(x) ?
The first derivative of cos^9(x) is -9cos^8(x)sin(x)