Question

find the derivat of tan(sinx)​

Answer 1

Answer:

cosx/(cos²(sinx))

Step-by-step explanation:

d(tan(sinx))/dx

applying chain rule differentiate outside function and multiply by derivative of inside function

derivative of tan(fx)=1/cos²(fx)

so becomes d(sinx)/dx × (1/cos²(sinx))

derivative of sinx = cosx

so becomes cosx/(cos²(sinx))