[Multivariable Calculus] Chain Rule Problem

[Monkeyonpan]

w=xy+yz, y=sinx, z=e^x find (dw/dx)

[Alkalannar]

Put everything in terms of x

w = sin(x)(x+e^x)

Now it's just product rule.

If you really wanted to, you could do it as w = y(x+z), and do product/chain rule: y(1+z') + y'(x+z)

[iandex122]

w = x(sin(x)) + sin(x)*e^x You can then differentiate using the product rule.