Given data:
a)
The given function is: y=ln(x2+4)(2x+5).
The expression for derivative of the given function is,
Apply the product rule.
Thus, the derivative of the given function is ln(x2+4)2+(4x2+10x)/(x2+4).
Given data:
b)
The given function is: y=ln(12x-7).
The expression for the derivative of the given function with the help of chain rule is,
Thus, the derivative of the given function is 12/(12x-7).
c)
The given function is: y=(ex^2+3)/ex-4.
Take the logarithm on both sides of the given function.
Differentiate the above expression with respect to x.
Substitute the value of y in the above expression.
Thus, the differentiation of the given expression is ( ex^2+3)(2x-1)/ex-4.
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