How do you use implicit differentiation to find dy/dx given #e^(xsiny)=y#?
2 Answers
Rewrite as:
Where
Let's find the derivative of
The derivative of
However, to determine the complete derivative of the function, we need to isolate
Substitute the initial function as
Hopefully this helps!
Please follow the instructions below...
Explanation:
Now use both implicit differentiation formulas:
-
On the left...
#(dy)/(dy)*(dy)/(dx)=(dy)/(dx)# -
On the right...
#f(x)g'(y)(dy)/(dx)+g(y)f'(x)#
If you do this, what you'll get is...