Working Rule for Verifying Rolle's Theorem
Let f (x) be a function defined on [a, b..
Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
Derivative of a Function of a Function
The differentiation of function of a function is known as 'chain rule'. The chain rule is probably the most widely used differentiation rule in mathematics. If y is a differentiable function of u and u is a differentiable function of x, then the derivative ..
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 differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? Th..
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 differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? Th..Evaluation of definite integral by substitution
We know that one of the most important method of evaluation of indefinite integral is method of substitution. While using method of substitution to evaluate definite integrals, following steps are involved. Working rule for Evaluating Definite Integral with Suitable Substitut..
Theorem 5
Let f be a differentiable function on I and let x 0 be any interior point of I. Then (a) If f attains its absolute maximum value at x 0 , then f ' (x 0 )= 0 (b) If f attains its absolute minimum value at x 0 , then f '(x 0 ) = 0. In view of the above theorems, we state the following rule..
Real Function
A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-domain are subsets of R, the se..
A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real numbers. In other words, functions whose domain and co-domain are subsets of R, the se..Suggested answer:
Using quotient rule, we have = - cosec 2 x..
Using quotient rule, we have = - cosec 2 x..Remark:
If we divide by uv in the formula ((u.v)' = u.v' + v .u'), we have It can be generalised for derivative of the product of more than two functions as given below:..
If we divide by uv in the formula ((u.v)' = u.v' + v .u'), we have It can be generalised for derivative of the product of more than two functions as given below:..See what our Users say :
very helpful of a complex problem, oh my god I would have never completed this problem with out the tutor. Tutor vista thank u so much.
I uploaded a worksheet and I wanted to follow it with the tutor so I could learn the technical parts. It took just a few minutes to get the understanding of what I needed with the tutor. I even get through all the examples on the sheet in 25 minutes that we were focused on it.
I need tutoring from tutorvista till th end of my schooling. Tutors are not only experts they are brilliant enough to make a student like me understand the concepts of differentiation and functions.
this tutoring helped me with each and every problem i needed help with and helped me to understand the math - ben
Looking for More Help!
