Posted by tim on Tuesday, November 13, 2012 at 11:16pm.
okay i need to find the derivative of
π is pi
and if you could show steps it would be GREATLY appreciated. thank you so much!
- calculus - bbbbb, Tuesday, November 13, 2012 at 11:43pm
you need to use the product rule so the first one(which is pi) times the derivative of the second one(which is sin2x) plus the second one times the derivative of the first one.
Here is how it should look:
(pi*cos2x)+(sin2x*1)The one is because pi is a constant so its derivative is just one.
In the second problem I do not understand what is squared...the x or pi times x. Sorry
I hope I helped you one the first one!
- calculus - tim, Wednesday, November 14, 2012 at 12:37am
Hey, thank you so much! you did help!
the second is x squared.. sorry for no being clear
- calculus - Steve, Wednesday, November 14, 2012 at 10:38am
π is just a constant, so
d/dx(πx) = π
d/dx(πsin2x) = π(2cos2x) = 2πcos2x
the second one uses the chain rule:
if u is a function of x, and f = cos(u), f' = -sin(u) u'
u = πx^2, so u' = 2πx
d/dx cos(πx^2) = -2πx sin(πx^2)
- calculus - Steve, Wednesday, November 14, 2012 at 10:40am
PS - derivative of a constant is 0, not 1.
Reason 1: derivative is rate of change. constants do not change.
Reason 2: since 1 = x^0, a constant k = kx^0
the derivative is thus 0*k*x^(-1) = 0
Answer This Question
More Related Questions
- Math integrals - What is the indefinite integral of ∫ [sin (π/x)]/ x^...
- calculus - okay i need to find the derivative of f(x)=cosπ(x^2) and if you ...
- Math, please help - Which of the following are trigonometric identities? (Can be...
- Math - Evaluate *Note - We have to find the exact value of these. That I know to...
- Trig Help! - Question: Trying to find cos π/12, if cos π/6 = square ...
- Calculus - How do I find the critical values? y= 4/x + tan(πx/8) What I ...
- Precalculus - Use one of the identities cos(t + 2πk) = cos t or sin(t + 2...
- Trig - find all solutions to the equation √3 csc(2theta)=-2 Would the ...
- geometry/algebra - I asked this question yesterday, and I'm trying to understand...
- Pre-Calculus - Find this quotient. Express the result in rectangular form. 9(...