Left Hand And Right Hand Derivatives FAQs

What is Left Hand Limit?

The left-hand limit of a function at a point is the value the function approaches as the independent variable approaches that point from the left side.

What is Full Form of LHD?

The full form of LHD is left hand derivative.

What is the Left Hand Rule for Derivatives?

The Left Hand Rule for Derivatives refers to the concept of approaching a point on a function from the left side of the number line to calculate the derivative.

What is Full Form of RHD?

The full form of RHD is right hand derivative.

What is the Right Hand Rule for Derivatives?

The Right Hand Rule for Derivatives refers to the concept of taking the derivative of a function at a specific point from the right side only.

What is the Condition for a Function to be Differentiable at x = a?

The condition for a function to be differentiable at x = a is that the function must have the same derivative (slope) from both the left and right sides at that point.

Left and Right Hand Derivatives are types of One-Sided Derivatives, representing the rate of change of a function at a specific point from either the left or the right side, respectively. Left Hand Derivative is given as h → 0^– where, h is negative and a + h approaches from left while right hand derivative is given as h → 0⁺ where, h is positive and a + h approaches from right.

Left Hand And Right Hand Derivatives are used to analyze whether or not a function is differentiable at certain points. These derivatives provide insight into the behavior of a function locally, that helps in understanding its overall characteristics. In this article, we will discuss both Left and Right Hand Derivatives in detail, including their definitions and properties.