Here you will learn some differentiability examples for better understanding of differentiability concepts. Example 1 : If f(x + y) = f(x) + f(y) โ 2xy โ 1 for all x and y. If f'(0) exists and f'(0) = -sin\(\alpha\), then find f{f'(0)}. Solution : f'(x) = \(\displaystyle{\lim_{h \to 0}}\) \(f(x+h) โ f(x)\over h\) = โฆ
Here, you will learn differentiability of a function and differentiability at a point and over an Interval. Letโs begin โ Meaning of Derivative The instantaneous rate of change of a function with respect to the dependent variable is called derivative. Let โfโ be a given function of one variable and let \(\Delta\)x denote a number โฆ
Differentiability of a Function โ Differentiable vs Continuous Read More ยป
