Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. Differentiation
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Category: mc
Differentiability
Differentiable functions of one variable is a function whose derivative exists at each point in its domain. Also function is differentiable at a point if it has a derivative there. Therefore function also continuous in given domain. Differentiable_function
Series with sigma notation
A series can be represented in a compact form, called summation. Greek ∑ is used to represent the sum. Hence, Such a sequence summation is called a series, and is designated sigma-notation
Gradient of tangent
At a given point on a curve, the gradient of the curve is equal to the gradient of the tangent to the curve. The derivative (or gradient function) describes the gradient of a curve at any point on the curve. Similarly, it also describes the gradient of a tangent to a curve at any point […]
Average and Instantaneous rate of change
Average rate of change of a function f(x) on an interval [a,b] is the slope of the secant line . The instantaneous rate of change of f(x) at x=a is the slope of the tangent line. Therefore the slope of the line measures the average rate of change of the function and can be found from any two points on […]
Limit
If x is approaching one of the transition points of the function, then you have to check both limit. Limit for Piecewise function
Limit
Limits of algebraic function when variable tends to finite value. In essence, we shall be using following three techniques. Algebraic limit
Limits
limit is the value that a function (or sequence) “approaches” as the input (or index) “approaches” some value. Limits describe how a function behaves near a point, instead of at that point. Limit
Linear equation
Equation is one that is dependent only on constants and a variable raised to the first power. Linear equation also forms a straight line on a graph. Most algebraic equations require the skills used when solving linear equations. Also in graph line cut x-axis at one point. This fact makes it essential that the algebra student becomes proficient in solving these problems. […]
Binomial Theorem
The coefficient of term in expansion of binomial terms. Therefore we use general term of binomial theorem. Also we can use collection of power of x . Binomial theorem
