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socratic.org/questions/how-do-you-find-the-derivative-of-y-ln-cos-x

You can find this derivative by applying the Chain Rule, with cosx as the inner function, and lnx as the outer function. Process: To apply the chain rule, we first find the derivative of the outer function, lnu, with u = cosx. Remember that the derivative of lnu = 1/u = 1/cosx. Now we just need to find the derivative of the inner function, cosx, and multiply it by the derivative of the outer ...

The derivative of the natural log is 1/x, therefore the derivative is 1/cos(x). However, since the value of cos(x) is submitted within the natural log we must use the chain rule.

It seems to turn out to be -sin(x)/cos(x). As the derivative of ln(x) is 1/x and using the chain rule we multiply by the derivative of the inner which leaves us with -sin(x)/cos(x)?? Is this correct? If not please enlighten me..with a short proof. :-) thanks yall

www.symbolab.com/solver/derivative-calculator/\frac{d}{dx}\left(ln\left(7x...

Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

www.mathway.com/popular-problems/Calculus/501753

Calculus Examples. Popular Problems. Calculus. Find the Derivative - d/dx cos( natural log of x) Differentiate using the chain rule, which states that is where and . Tap for more steps... To apply the Chain Rule, set as . The derivative of with respect to is . Replace all occurrences of with .

www.intmath.com/differentiation-transcendental/1-derivative-sine-cosine...

The derivative of cos x is −sin x (note the negative sign!) and The derivative of tan x is sec 2 x . Now, if u = f ( x ) is a function of x , then by using the chain rule, we have:

www.intmath.com/differentiation-transcendental/5-derivative-logarithm.php

Derivative of y = ln u (where u is a function of x). Unfortunately, we can only use the logarithm laws to help us in a limited number of logarithm differentiation question types. Most often, we need to find the derivative of a logarithm of some function of x.For example, we may need to find the derivative of y = 2 ln (3x 2 − 1).. We need the following formula to solve such problems.