Category: 2. Derivatives

Derivatives are obtained by applying the limits as per the first principle of differentiation that we obtained as the definition of a derivative. Let f(x) = 4×2 + 3 f′(x)=lim δx→0 f(x+δx) − f(x) / δx f ′ ( x ) = lim δ x → 0 f ( x + δ x ) − f ( x…

The derivative is a function that is geometrically defined as the slope of the line tangent to the curve at any point. If f is differentiable and continuous at [a,b], then This change in h is infinitely very small. We denote it by Δx. Then change in the original function f(x) is also small, denoted…

A derivative is the rate of change of a quantity y with respect to another quantity x. A derivative is also termed the differential coefficient of y with respect to x. Differentiation is the process of finding the derivative of a function. If f(x) is a function differentiable in an interval [a,b], at every point of the…