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
The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
well if you're finding the derivative with respect to x, it would be -tx^(-t-1)
- 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
d/dx ∫ f(x) dx = f(x)
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
The derivative with respect to 'x' is 4y3 . The derivative with respect to 'y' is 12xy2 .
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"
f(x) = (1 - x^(2) ^(1/2) Let y= (1 - x^(2)) ^(1/2) Use Chain Rule dy/dx = dy/du X du/dx Let u = 1 - x^(2) Hence y = u^(1/2) dy/du = (1/2)u^(-1/2) du/dx = -2x Hence dy/dx = dy/du X du/dx = (1/2)u^(-1/2) X ( -2x) dy/dx = (1/2)u( 1 -x^(2)^(-1/2) X ( -2x) Tidying up dy/dx = (-2x/(2(1 - x^(2))^(1/2)) dy/dx = -x/ [(1 - x^(2)]^(1/2)
The third derivative of the function x with respect to time is the rate of change of the acceleration of x with respect to time. It is denoted as d3x/dt3.
well if you're finding the derivative with respect to x, it would be -tx^(-t-1)
- 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
d/dx ∫ f(x) dx = f(x)
If y = 3x +- 1, the derivative with respect to x is y' = 3.
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
If the differentiation is carried out with respect to 'x', then it's 3x2 .
A partial derivative is the derivative of a function of more than one variable with respect to only one variable. When taking a partial derivative, the other variables are treated as constants. For example, the partial derivative of the function f(x,y)=2x2 + 3xy + y2 with respect to x is:?f/?x = 4x + 3yhere we can see that y terms have been treated as constants when differentiating.The partial derivative of f(x,y) with respect to y is:?f/?y = 3x + 2yand here, x terms have been treated as constants.