Search over 10,000 free study notes

To find the derivative of two functions multiplied by each other we would use the product rule. The product rule: (fg)'(x) = f '(x).g(x) + f(x).g'(x) First we need to split our function into the two parts th...

To differentiate this function we use the product rule. In the product rule we, leave the first alone, differentiate the second, and leave the second alone, differentiate the first. Say y = U * V (U and V ar...

arcsin(x) + c

y' = dy/dx = (2x)/(y+1) Separate x's and y's in this case. y + 1 dy = 2x dx Now integrate both sides. (y 2 )/2 + y = (2x 2 )/ 2 + C Don't forget the constant. (y 2 )/2 + y = x 2 + C

This is a question that can be answered in two ways: using the product rule and the rule for differentiating powers, we will do both to see how the two rules are equivalent. chain rule: split the function in...