Wednesday

April 16, 2014

April 16, 2014

Posted by **Jane** on Thursday, January 8, 2009 at 8:06am.

1) y = (sin x) ^-1/3

answer dy/dx = - 1/ 3(sinx) ^4/3

2) y = sqrt 8 + sin(6x)

answer - lost

- Calculus -
**Reiny**, Thursday, January 8, 2009 at 8:48am1) close, you left out the derivative of the base, so

dy/dx = - 1/ 3(sinx) ^4/3(cosx)

for 2)

rewrite it as

y = (8+sin(6x))^1/2

dy/dx = (1/2)((8+sin(6x))^-1/2)(cos(6x))(6)

= 3cos(6x)((8+sin(6x))^-1/2)

**Related Questions**

math calculus - 1.)dy/dx for 3x^7+5/x^3+3(7square roots of x^2)+sinx 2.)d/dx ...

Calc - Find the derivative of a) y=cos (x/2) b) yx-3x^2 +6 = y^4 + x a) -sin (x/...

Calculus - Use implicit differentiation to find dy/dx if cos xy = 2x^2 - 3y. I'm...

Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...

Ap Calc AB - Determine (dy/dx) using implicit differentiation. cos(X^2Y^2) = x I...

calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...

calculus - considering that x is the independent variable in this equation: y + ...

Calculus - More questions on - finding dy/dx 1) y = sqrt 4 + sin 10 x - I am ...

Calc. - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln...

calculus - Can you give me a good website on the topic, slope fields and ...