1) If f(x, y) = sin 9x/ 5 + y , calculate ∂f ∂x and ∂f ∂y . Using the Chain Rule for functions of one variable, we have

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1) If f(x, y) = sin 9x/ 5 + y , calculate ∂f ∂x and ∂f ∂y .
Using the Chain Rule for functions of one variable, we have
∂f ∂x= (?) * (∂ ∂x 9x/5+y) = ?
∂f ∂y= (?) *(∂ ∂y 9x/5+y)= ?
MY NOTES af af and EXAMPLE 3 If f(x, y) = sin( calculate = sin(x), 5+ y ax dy SOLUTION Using the Chain Rule for functions of one variable, we have 9x af ]). - (5) ax (57) af ду 5 SESSCALCET2 11.3.005. and Interpret these numbers as slopes. ASK YOU MY NOTES ASK YOU