y = kn / (1 + n2)
First, let's express it with negative exponents:
y = kn * (1 + n2)-1
Then apply the chain rule:
dy|dn = k(1 + n2)-1 - kn(1 + n2)-2 * 2n
And simplify:
dy|dn = k / (1 + n2) - 2n / kn(1 + n2)
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.
Yes.
pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
The "double prime", or second derivative of y = 5x, equals zero. The first derivative is 5, a constant. Since the derivative of any constant is zero, the derivative of 5 is zero.
Find the derivative of Y and then divide that by the derivative of A
f(x)=1 f'(x)=0 because the derivative of a constant is ALWAYS 0.
The highest point on a graph is when the derivative of the graph equals 0 or the slope is constant.
Yes.
pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
Yes, the derivative of xi with respect to x equals i. Is that what you were trying to ask?
If dy/dx = (e) (9x) then Y = 4.5ex2 plus (any constant).==================================The above answer explains how to get the integral of e9x.If you were interested in how to get the derivative of e9x, the answer is e9.I suspect you may have actually wanted to ask how to get the derivative of e9x.In that case, the derivative of e9x is 9e9x.
y = mx dy/dx = m The derivative is simply the constant in front of x. Here, we have indicated that to be m.
The derivative of 10x is 10. This is irrespective of the value of x.
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.