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today were going to talk about related rates and how to solve those problems that youre going to counter in calculus were going to cover a lot of problems but before we begin lets talk about derivatives now what is the derivative with respect to x of y to the third what would you say the derivative of y cubed using the power rule is three y squared but its multiplied by d y d x likewise if you differentiate with respect to x lets say r to the fourth its the derivative of r to the fourth which is four r cubed using the power rule but times d r over dx so lets say if you differentiate with respect to y s to the fifth power this is going to be equal to five s to the fourth times d s divided by d y so notice the pattern so if you differentiate y with respect to x e to get d y d x if you differentiate r with respect to x youll get d r dx if you differentiate s with respect to y youre going to get d s d y you need to understand what derivative youre going to get after you differe