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.
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.
∫ d/dx f(x) dx = f(x) + C C is the constant of integration.
You have to specify more information than that. If y is an independent variable and you're talking about the derivative with respect to x, it would be 1/y.
The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
2*2*5*x*y
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
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"
2 times 2 times 5 times x times y = 20xy
The derivative, with respect to x, is -x/sqrt(1-x2)
If by "2aXaXa", you actually mean "2a3", then the derivative with respect to a is 6a2. On the other hand, if you actually mean "2a3X2", then it's derivative with respect to X would be 6a2X2(da/dx) + 4a3X. If "a" is simply a constant though, then it's derivative is 4a3X
2,5,10,x
well if you're finding the derivative with respect to x, it would be -tx^(-t-1)
d/dx ∫ f(x) dx = f(x)
- the derivative with respect to x is 40y - The derivative with respect to Y is 40xSo, since both x and y equal 2, both derivatives yield 40*2 = 80
If y = 3x +- 1, the derivative with respect to x is y' = 3.