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(xi)log(cos x^(2))...

(xi)log(cos x^(2))

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Differentiate the following functions with respect to x:(i)log(cos x^(2)) (ii) cos(log x)^(2)

The solution of the equation log _( cosx ^(2)) (3-2x) lt log _( cos x ^(2)) (2x -1) is:

The solution of the equation log _( cosx ^(2)) (3-2x) lt log _( cos x ^(2)) (2x -1) is:

Differentiate log(cos x^(2)) with respect to x:

solve for x:log_(sin^(2)x)(2)+log_(cos^(2)x)(2)+2log_(sin^(2)x)(2)log_(cos^(2)x)(2)=0

(d)/(dx)[log(cos h(2x))]=

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

Differentiate the following functions with respect to x : (i) log(cosx^2) (ii) cos(log x)^2

(b) int_(1)^(3)(cos(log x^(2)))/(x)dx