Question

differentiate w.r.t x tanx - cotx/tanx + cotx​

Answer 1

Step-by-step explanation:

write the expression in terms of sin and cos .

now take the lcm and cancel out the denominators ,

we have now the expression in the form;

{ (sinX)^2. -. (cosX)^2 }/ {(sinX)^2 + (cosX)^2}

-cos2X

now differentiate it with respect to x

we get the answer as:

2 sin2x