I'm not sure how you solve this problem. What is the derivative with respect to x of (ln x)/(cos x)....?

Question

a. [(ln x)(cos x) - (1/x)(sin x)]/(ln x)^2
b. [(ln x)(sin x) + (1/x)(cos x)]/(cos x)^2
c. - [(ln x)(sin x) + (1/x)(cos x)]/(ln x)^2
d. [(1/x)(sin x) - (ln x)(cos x)]/(sin x)^2
e. none of these

Answer 1

say lnx = f(x) and cosx = g(x)

[ f'(x)g(x) - g'(x)f(x) ] / g(x)^2

f'(x) = 1/x g'(x) = -sinx

answer:
(1/x)cosx + lnxsinx / (cosx)^2

choice b.

Answer 2

that is getting ridiculous. you do not look attempting and in simple terms spouting off the solutions. The least you're able to do is try the topic after which submit what you do not comprehend approximately it.