This is technically a partial derivative, represented as ∂(20xy)/∂x. The way to calculate this is simple, treat y as a constant, like 20 is in this case. Therefore, the expression is simplified to 20*y*d(x)/dx. d(x)/dx is just 1, so the answer is 20y.
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If it is with respect to t: 1 If it is with respect to some other variable (x for example): (dt)/(dx), which is literally read "the derivative of t with respect to x"
If y = 3x +- 1, the derivative with respect to x is y' = 3.
∫ d/dx f(x) dx = f(x) + C C is the constant of integration.
If x is a function of time, t, then the second derivative of x, with respect to t, is the acceleration in the x direction.
The derivative of 10x with respect to x is 10 and 25y with respect to y is 25. If it is 10x25y, then use the chain rule. 10x 25y = 10*25y + 10x*25y' = 250y + 250xy'