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.
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Well, isn't that just a happy little question! When you take the derivative of 2Y with respect to Y, you simply get 2. It's like painting a beautiful landscape - just follow the rules and let the magic happen!
It depends:
The derivative with respect to Y is: dX/dY 2Y = 2
The derivative with respect to X is: dY/dX 2Y = 0
Oh, dude, the derivative of 2Y is just 2. It's like when you're at a party and you've got two Y's, and then someone takes one away - you're left with just 2. So, yeah, the derivative of 2Y is 2.
4y = 2y + 40 4y - 2y = 2y -2y +40 2y = 40 y = 20 check 4(20) = 2(20) +40 80 = 80
-2y = 10 2y = -10 y = -5
3x = 2y + 3 3x -3 = 2y +3 -3 3x - 3 = 2y (3x -3)/2 = 2y / 2 y = 1/2 x (3x - 3) 3x = 2y +3 3x - 3x = -3x +2y +3 0 = -3x +2y +3 -1 x (0) = -1 x (-3x +2y +3) 0 = 3x - 2y -3
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)