## Basic Partial Differentiation Tutorial: IITJEE Mains

Do the following: Find the partial derivatives of the following functions:

a) $f(x,y,z) = x^{y}$

b) $f(x,y,z) = z$

c) $f(x,y) = \sin{(x \sin{y})}$

d) $f(x,y,z) = \sin{(x \sin{(y \sin{z})})}$

e) $f(x,y,z) = x^{y^{z}}$

f) $f(x,y,z) = x^{(y+z)}$

g) $f(x,y) = \sin{(xy)}$

h) $f(x,y,z) = (x+y)^{z}$

i) $f(x,y) = (\sin{(xy)})^{\cos {3}}$

These are baby steps required to learn the techniques of solving differential equations.

Regards,

Nalin Pithwa

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