by implicit differentiation you have
y+x*dy/dx-2dy/dx=0
solving for dy/dx you'll have
dy/dx=y/(2-x)
and solving for y in the original equation and plugging it back in, you'll get
dy/dx=1/(-x^2 +4x-4) which is your final answer
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.
(xlnx)' = lnx + 1
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.
The derivative of 10x is 10. This is irrespective of the value of x.
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.
(xlnx)' = lnx + 1
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
Powers of e are simple to integrate. The derivative of eu equals u'eu; inversely, the antiderivative of eu equals eu/u'. Therefore, the antiderivative of e1/-x equals (e1/-x)/{d/dx[1/-x]}. The derivative of 1/-x, which can also be expressed as x-1, equals (-1)x(-1-1) = -x-2 = -1/x2.
f'(x)= 0x^-1=0anything multiplied by zero equals zero
The derivative of 10x is 10. This is irrespective of the value of x.
There are several steps involved in how one can solve the derivative x plus y - 1 equals x2 plus y2. The final answer to this math problem is y'(x) = (1-2 x)/(2 y-1).
x = 10x, so derivative = 10
1 divided by x to the third power equals x to the negative third. The derivative of x to the negative third is minus three x to the negative fourth.
The derivative of ln(x) is 1/x. Therefore, by Chain Rule, we get:[ln(10x)]' = 1/10x * 10 = 1/xUsing this method, you can also infer that the derivative of ln(Ax) where A is any constant equals 1/x.
Yes, but only if the domain is the real numbers. The derivative is y = 1.
The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.The derivate of 3x is 3; the derivative of -1 is 0. So, the derivative of 3x-1 is simply 3.