Calculus
posted by Anonymous .
Find the derivative
1. y = e^xSin²x
2. y = (x³+1)e^4
3. y = x²e^Sinx

Calculus 
bobpursley
if y= uv
y'= u v' + v u'
int the first, u=e^x v=sin^2x
du= e^x dx dv=2sinxcosx dx
y= e^x *2sinx cosx + e^x sin^2x
I will be happy to critique your thinking on the others. 
Calculus 
Anonymous
Nevermind, please don't answer this question. I have made a mistake. Thanks.

Calculus 
Anonymous
Oh but thank you.

Calculus 
Anonymous
Ok, I wrote number 2 wrong. Number 1 and number 3 equations are correct but number 2 is actually y = (x²+1)e^4
1) y = e^x(Sin²x)
2) y = (x²+1)e^4
3) y = x²(e^Sinx)
please help me on all 3 questions. thank you.
Respond to this Question
Similar Questions

Math, Calculus
Find the derivative of the function. y= xcosx  sinx What's the derivative? 
calculus
Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the derivative 
Calculus (Derivatives)
Using the product rule, find the derivative of the following function: (x^1/2 cscx sinx). 
Trig Help
Prove the following: [1+sinx]/[1+cscx]=tanx/secx =[1+sinx]/[1+1/sinx] =[1+sinx]/[(sinx+1)/sinx] =[1+sinx]*[sinx/(sinx+1)] =[sinx+sin^2x]/[sinx+1] =[sinx+(1cos^2x)]/[sinx+1] =? 
Calculus
Find the derivative of each 1) y = e^x(Sin²x) 2) y = (x²+1)e^4 3) y = x²(e^Sinx) 
AP Calculus AB
Find the derivative of: y=(cosx)^3(sinx)^3 
calculus help
find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) 
calculus help
Find the derivative of the function. y = integral from cosx to sinx (ln(8+3v)) dv lower limit = cosx upper limit = sinx y'(x) = ? 
Calculus
determine the absolute extreme values of the function f(x)=sinxcosx+6 on the interval 0<=x<=2pi. This is what i did: 1.) i found the derivative of the function which is f'(x)=cosx+sinx 2.) I set f'(x)=0 and got sinx/cosx=1 … 
Math (Calculus)
Hello, I have a difficulty with the following question. The question is asking to find the slope of the tangent at x=3 for this function: f(x)=4x^3/sinx. X is measured in radians. The is the derivative of f(x): f'(x)=(12x^2)(sinx)^1 …