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Definition : A function f ( x ) is called differentiable at x = a if f ′ ( x ) exists & f ( x ) is called differentiable onto an interval if the derivative present for each of the point in that interval.
The next theorem illustrates us a very nice relationship among functions which are continuous & those that are differentiable.
Theorem: If f ( x ) is differentiable at x = a then f ( x ) is continuous at the point x = a.
Note as well that this theorem does not work in reverse order . Assume f ( x ) = |x| and take a look at,
So,f ( x ) = xis continuous at x =0 to sketch the graph of a function.
Some important issue of graph Before moving on to the next example, there are some important things to note. Firstly, in almost all problems a graph is pretty much needed.
What are the Three Sides of a Right Triangle? Each side of a right triangle can be labeled opposite, adjacent, or hypotenuse, based on its relationship to the right angle and o
Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to
Im having trouble with this word problem: The three Math Idol judges have been eliminating contestants all day! The number of one-step equations and two-step equations who have be
uses of maths concept
Find out the general formula for the tangent vector and unit tangent vector to the curve specified by r → (t) = t 2 i → + 2 sin t j → + 2 cos t k → . Solution First,
Wht is Frobenius Number? Start discussion and problems solving in Frobenius Number.
Find the Regular Grammar for the following Regular Expression: a(a+b)*(ab*+ba*)b.
sin(2x+x)=sin2x.cosx+cos2x.sinx =2sinxcosx.cosx+(-2sin^2x)sinx =2sinxcos^2+sinx-2sin^3x =sinx(2cos^2x+1)-2sin^3x =sinx(2-2sin^2x+1)-2sin^3
Write down the system of differential equations for the population of both predators and prey by using the assumptions above. Solution We will start off through letting that
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