Tuesday

September 30, 2014

September 30, 2014

Posted by **michelle** on Monday, October 8, 2012 at 9:00pm.

y= (1+3x)^12 , (0,1)

and find y' and y"

y=cos(x^2)

I got y' = -2xsin(x^2)

i keep trying to get double prime but everything i try isnt working.

- calculus -
**Reiny**, Monday, October 8, 2012 at 10:41pmfirst:

dy/dx = 12(1+3x)^11 (3)

= 36(1+3x)^11

when x = 0

dy/dx = 36(1)^11 = 36

and of course (0,1) is the y-intercept, so equation is

y = 36x + 1

2nd:

y = cos(x^2)

y' = 2x(-sin(x^2) = -2x sin(x^2)

use the product rule for y''

y'' = (-2x)cos(x^2) (2x) + sin(x^2) ( -2)

= -4x^2 cos(x^2) - 2sin(x^2)

- calculus -
**michelle**, Monday, October 8, 2012 at 11:26pmI've tried entering in 36x+1 earlier and it told me it was incorrect. I thought I did it wrong. Thanks for getting back to me.

- calculus -
**michelle**, Monday, October 8, 2012 at 11:29pmwell i entered it in again and now it took that first answer. i think theres a glitch with the program but thank you for showing me how you got the answers. it helps so much!

**Answer this Question**

**Related Questions**

Calculus - Find an equation of the tangent line to the curve at the given point...

calculus - find tangent line equation to the curve at the given point: y= 7e^x ...

Calculus - Find an equation of the tangent line to the curve at the given point...

Calculus - Please help this is due tomorrow and I dont know how to Ive missed a ...

calculus - Consider the curve given by the equation y^3+3x^2y+13=0 a.find dy/dx...

calculus - Given the curve defined by the equation y=cos^2(x) + sqrt(2)* sin(x) ...

Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...

calculus - Consider the curve defined by 2y^3+6X^2(y)- 12x^2 +6y=1 . a. Show ...

calculus - 1. Given the curve a. Find an expression for the slope of the curve ...

calculus - y sin 12x = x cos 2y, (pi/2, pi/4) Find the tangent line to the curve...