00:01
Hi there in this question we have to find a derivative of f of x is equal to ckx.
00:06
So let's see how we'll do this.
00:07
So here we have f of x as ckx and we know that seek x means it is the reciprocal function of cosine.
00:15
So here we have this is equal to 1 divided by cosine x.
00:20
So now we are asked to find the derivative of this particular reciprocal function.
00:26
So here we can use the quotient rule of differentiation.
00:30
Caution.
00:31
Rule of differentiation.
00:34
That is, if we have two functions, if, if u of x and v of x are two functions, then are two functions, then the derivative of the quotient of u and v, that is, d over d x of u divided by v is equal to the derivative of the numerator, multiplied but denominator minus, numerator, multiplied by the derivative of the denominator divided by denominator square.
01:10
This is the function.
01:11
So here we can see that f of x is equal to 1 divided by cosine x.
01:16
So in place of u of x, we have 1 and in place of v of x, we have cosinex.
01:22
So we can use this particular result here...