How to calculate derivatives of xy in calculus?
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First of you must know that when you find the derivative of any function , you are actually finding slope...
and You also know about function and respect in which you are going to diffrentiate the function the given function..
Derivative rules -> we use Product Rule for the given problem
You dint mention the respect in which function xy is to be differentiate...
given function is a Type Implicit Function and this can be differentiate w.r.t.x as follow..
f(x) = xy
applying Product rule
f'(x) = x d(y)/dx + y d(x)/dx
= x dy/dx + y . 1
= x dy/dx + y
and You also know about function and respect in which you are going to diffrentiate the function the given function..
Derivative rules -> we use Product Rule for the given problem
You dint mention the respect in which function xy is to be differentiate...
given function is a Type Implicit Function and this can be differentiate w.r.t.x as follow..
f(x) = xy
applying Product rule
f'(x) = x d(y)/dx + y d(x)/dx
= x dy/dx + y . 1
= x dy/dx + y
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