graphs of derivative functions





Derivative of a Function
So far we have discussed the derivative of a function f(x) at a point 'a' which is in the domain of f. Suppose we want to find the derivative of the same function at a different point 'b', then we have to compute the derivative by repeating the same..
Derivative of a Function of a Function
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to dif..
Derivative of Implicit Functions
Derivative of Implicit Functions - Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual ..
Notion for the Derivative of a Function
The derivative of the function f with respect to a variable x is the function f ' whose value at x is provided the limit exist..
Derivative of Inverse Trignometric Functions
Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse trigonometric function. For ready reference, the domain and range of these functions..
Derivative of Inverse Trignometric Functions
The Derivative of Inverse Trignometric Functions includes: 1. sin - 1 x, 2. cos - 1 x, 3. tan - 1 x, 4. cot - 1 x, 5. sec - 1 x, 6. cosec - 1 ..
Derivative of a Constant of a Function
Let f (x) = k u(x) where k is a constant and u = u(x), x R, be a differential function of x. We then have ..
Derivative of Exponential Function
If f(x) = e x , then ..
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