by-examining-the-pattern-of-derivatives-determine-the-500thtext500th-derivative-

Question

By examining the pattern of derivatives, determine the 500th	ext{500th} derivative of 7cos⁡(3x)7\cos\left(3xight).

Accepted Answer

7⋅3500cos⁡(3x)7\$$cdot3^{500}$$\cos\left(3x\right)

Answer

−7⋅3500cos⁡(3x)-7\$$cdot3^{500}$$\cos\left(3x\right)

Answer

7⋅3500sin⁡(3x)7\$$cdot3^{500}$$\sin\left(3x\right)

Answer

−7⋅3500sin⁡(3x)-7\$$cdot3^{500}$$\sin\left(3x\right)

By examining the pattern of derivatives, determine the 500th\(\text{500th}\) derivative of 7cos(3x)7\(\cos\)\(\left\)(3x\(\right\)).