Find the derivative of ln(secx+tanx)

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Find the derivative of



You can treat  y  as a composite function of  x:



so use the chain rule to differentiate  y:



The first derivative is  1/u, and the second one can be evaluated by applying the quotient rule:



Multiply out those terms in parentheses:



Substitute back for 



Simplifying that product, you get



∴    

I hope this helps. =)

Tags:  derivative composite function logarithmic logarithm log trigonometric trig secant tangent sec tan chain rule quotient rule differential integral calculus

Answer: the correct answer is 10step-by-step explanation: let the number be n, then the expression becomes,then“twelve more than the quotient of a number and two, decreased by four” iswhen n=4,we substitute 4 whetever we see n to get,we simplify to obtain,we further simplify to get,therefore the correct answer is c.

Multiple choice or not?