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Why do you need total derivative and partial derivative?
The partial derivative only acts on one the variables on the equations and treats the others as constant.
What is the difference between derivative and differenciation?
derivative means rate of change of one variable w.r.t one variable while in differentition rate of change of one variable w.r.t more than one variables.
What is the derivative of 5secx?
You can take out any constant from a derivative. In other words, this is the same as 5 times the derivative of sec x.
What is the derivative of cos 2x?
f'(x)=-sin2x(2) f'(x)=-2sin2x First do the derivative of cos u, which is -sin u. Then because of the chain rule, you have to take the derivative of what's inside and the derivative of 2x is 2.
What is the derivative of 2Y?
The derivative of 2Y is simply 2. In calculus, when you take the derivative of a constant times a variable (in this case, 2 times Y), the constant remains unchanged. Therefore, the derivative of 2Y with respect to Y is 2.
