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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