




Card 7 / 15:
absolute extremum
if f has an absolute maximum or absolute minimum at c , we say f has an absolute extremum at c

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Questions & Answers
I don't understand the formula
What is a independent variable
a variable that does not depend on another.
Andrew
solve number one step by step
how to prove 1sinx/cos x= cos x/1+sin x?
1sin x/cos x= cos x/1+sin x
Rochel
how to prove 1sun x/cos x= cos x / 1+sin x?
Rochel
how to prove tan^2 x=csc^2 x tan^2 x1?
divide by tan^2 x
giving
1=csc^2 x 1/tan^2 x,
rewrite as:
1=1/sin^2 x cos^2 x/sin^2 x,
multiply by sin^2 x giving:
sin^2 x=1cos^2x.
rewrite as the familiar
sin^2 x + cos^2x=1
QED
Barnabas
how to prove sin x  sin x cos^2 x=sin^3x?
sin x  sin x cos^2 x
sin x (1cos^2 x)
note the identity:sin^2 x + cos^2 x = 1
thus, sin^2 x = 1  cos^2 x
now substitute this into the above:
sin x (sin^2 x), now multiply, yielding:
sin^3 x
Q.E.D.
Andrew
take sin x common. you are left with 1cos^2x which is sin^2x. multiply back sinx and you get sin^3x.
navin
Left side=sinxsinx cos^2x
=sinxsinx(1+sin^2x)
=sinxsinx+sin^3x
=sin^3x
thats proved.
Alif
how to prove tan^2 x/tan^2 x+1= sin^2 x
Rochel
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Alif
a term/algebraic expression raised to a nonnegative integer power and a multiple of coefficient,,,,,, T^n where n is a nonnegative,,,,, 4x^2
joe
An expression in which power of all the variables are whole number . such as 2x+3 5 is also a polynomial of degree 0 and can be written as 5x^0
Nawaz
what is hyperbolic function
find volume of solid about y axis and y=x^3, x=0,y=1
Is a rule used to find a derivative. For example the derivative of y(x)= a(x)^n is y'(x)= a*n*x^n1.
Timothy
how do i deal with infinity in limits?
Add the functions f(x)=7xx g(x)=5x
difference btwn domain co domain and range
Cabdalla
The set of inputs of a function. x goes in the function, y comes out.
Verna
If you differentiate then answer is not x
Raymond
domain is the set of values of independent variable and the range is the corresponding set of values of dependent variable
Champro
give different types of functions.
Paul
how would u find slope of tangent line to its inverse function, if the equation is x^5+3x^34x8 at the point(8,1)
pls solve it i Want to see the answer
Sodiq
differentiate each term
Friendz
Source:
OpenStax, Calculus volume 1. OpenStax CNX. Feb 05, 2016 Download for free at http://cnx.org/content/col11964/1.2
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