Question

find the derivative of sec^3A ​

Answer 1

Answer:

Jacob F. secx is equal to 1cosx . Thus, sec3x is an equivalent statement to 1(cosx)3 . And, we know that this is equivalent to (cosx)−3 .

Answer 2

Step-by-step explanation:

you must be knowing chain rule

so you apply that first differentiate with respect to secx

dy/dsec3x*sec³3x --------(1)

you will get 3sec²x

then you differentiate sec3x with respect to 3x

dy/d3x*sec3x, you will get sec3x*tan3x

and in the last step differentiate 3x with respect to x

dy/dx*3x, you will get 3

so your final answer will be the product of the complete chain

dsec³3x/dx = 3sec²x.sec3x.tan3x.(3)

= 9sec²x.sec3x.tan3x