How can you Differentiate (√x^3+ csc) ..?

1 Answer
Karthik N
May 1, 2018

The derivative is #3sqrt(x)/2 - cot(x)csc(x)#

Explanation:

The derivative of the given function is the sum of the derivatives of
#x^(3/2) and csc(x)#.
Note that #sqrt(x)^3 = x^(3/2)#
By the Power Rule, the derivative of the first is:
#3/2 xx x^(3/2 -1) = 3sqrt(x)/2#

The derivative of #csx(x) is -cot(x)csc(x)#

So the derivative of the given function is #3sqrt(x)/2 - cot(x)csc(x)#.

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