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I need help with this. Prove the identity 2tan 2x = (tan 2x - sin2x)cosec^2 x
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the first eq will be p^2 + q^2 = 2^2 (Pythagoras theorem)
http://sketchtoy.com/63854867Sorry. I didnot get you.
Can u do the solution for first equation (P^2) one on " sketchtoy.com " and share the link
and this one is a similar question from May June 2014
View attachment 49633
simply, apply the function f(x) on the max and least values given for domain (in this case, its -1 and +1)***amd***
What is the method of finding range ? I donot get it at all... Whenever we are given a function, they probably ask us to gives its range while the domain is given
for example if the function is
3x - 2
and domain is −1 ≤ x ≤ 1 so what will be the range?
Maths master back in action.simply, apply the function f(x) on the max and least values given for domain (in this case, its -1 and +1)
if, for function f:x, domain is -5 < x < 5
then its range is f(-5) < f(x) < f(5)
BUT, for quadratic functions, http://sketchtoy.com/63854982
simply, apply the function f(x) on the max and least values given for domain (in this case, its -1 and +1)
if, for function f:x, domain is -5 < x < 5
then its range is f(-5) < f(x) < f(5)
BUT, for quadratic functions, http://sketchtoy.com/63854982
i guess Yes, if the domain is all real numbers, the range must be all real. Because you can get an output of a complex number ONLY when you have 'square root' in your function (and square root will quote for TWO values, one +ve and one -ve, which means a SINGLE value of 'x' will give you MORE THAN ONE value of f(x))Yeah I am aware about quadratic functions.
and what if the equation has a domain of all real values so what will be its range? all real values?
This question. Its about Maximum and minimum. I tried to understand the concept from MS but couldnt get it.
View attachment 49634
Yeah I am aware about quadratic functions.
and what if the equation has a domain of all real values so what will be its range? all real values?
This question. Its about Maximum and minimum. I tried to understand the concept from MS but couldnt get it.
View attachment 49634
I assume you are having difficulty in solving the equation of double derivative and not in calculation of derivative and double derivative itself. well, then watch this: http://sketchtoy.com/63863677
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