DF(X)/X 25X^2+Y
gibberish
maybe you mean
df/dx or dy/dx or ∂f/∂x
using implicit/or partial differentiation?
if so, clean it up a bit so we know what you mean.
There's no way the original problem was presented in such a vague way.
We don't mind helping with the answers, but don't expect us to come up with the questions as well !!
To find the derivative of a function with respect to the variable x, you can use the power rule for differentiation. In this case, the expression you provided is in the form of a function f(x) = 25x^2 + y, where y is a constant.
Step 1: Identify the variable you want to differentiate with respect to, which in this case is x. In the expression 25x^2 + y, x is the variable of interest.
Step 2: Apply the power rule for differentiation, which states that for a function of the form f(x) = ax^n, where a is a constant and n is any real number, the derivative with respect to x is given by df(x)/dx = anx^(n-1).
In our case, the derivative of 25x^2 with respect to x is given by:
d(25x^2)/dx = 2 * 25 * x^(2-1) = 50x.
The derivative of y with respect to x is 0, since y is treated as a constant.
Therefore, the derivative of the given function f(x) = 25x^2 + y with respect to x, which can be written as df(x)/dx, is:
df(x)/dx = 50x + 0 = 50x.
So, the derivative of the function with respect to x is 50x.