<aside> 🗒️ When using PhotoMath here are the corresponding inverse functions (cause $\sin(x)^{-1}$ is not the same thing):

• $\sin^{-1}(x) \rightarrow \arcsin$
• $\cos^{-1}(x) \rightarrow \arccos$
• $\tan^{-1}(x) \rightarrow \arctan$
• $\cot^{-1}(x) \rightarrow \text{arccot}$
• $\sec^{-1}(x) \rightarrow \text{arcsec}$
• $\csc^{-1}(x) \rightarrow \text{arccsc}$ </aside>

Question 1: Find the derivative of the function with respect to x.

$$ y=\cos^{-1}(\frac{11}{x}) $$

• Solution:

Question 2: Find the derivative of y with respect to s.

$$ y=\sec^{-1}(6s^3+5) $$

• Solution:

Question 5: Find the derivative of y with respect to x.

$$ y=\ln(\tan^{-1}(4x^3)) $$

• Solution:

Question 6: Find the derivative of y with respect to t.

$$ y=\csc^{-1}(e^{5t}) $$

• Solution:

Question 9: Find the derivative of y with respect to x.

$$ y=2x^5\sin^{-1}(2x^5)+\sqrt{1-4x^{10}} $$