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dy/dx is the measure of the change in the value of y due to a minor change in the value of x i.e. it is basically the measure of the slope of a tangent to the curve at that particular x. x = f inverse(y) dx/dy will also be a measure of the change in the value of x due to a minor change in the value of y.How to calculate a basic derivative of a function?
f' (x) = lim (f (x+h) - f (x))/h. With the limit being the limit for h goes to 0. Finding the derivative of a function is called differentiation. Basically, what you do is calculate the slope of the line that goes through f at the points x and x+h. Because we take the limit for h to 0, these points will lie infinitesimally close together; and therefore, it is the slope of the function in the point x.What is the alternate definition of a derivative?
The derivative of a function is the measure of change in that function. Consider the parabola y=x^2. For negative x-values, on the left of the y-axis, the parabola is decreasing (falling down towards y=0), while for positive x-values, on the right of the y-axis, the parabola is increasing (shooting up from y=0).