Homework Help Forum: calculus

Posted by Jenny on Thursday, October 29, 2009 at 7:01pm.

Use implicit differentiation to find the slope of the tangent line to the curve (y/x+8y)=x^8 +9 at the point (1,10/-79).

• calculus - Reiny, Thursday, October 29, 2009 at 7:29pm

  I would rather use the product rule than the quotient rule, so lets multiply each term by x to get y + 8xy = x^9 + 9x dy/dx + 8x(dy/dx) + 8y = 9x^8 + 9 dy/dx(1+8x) = 9x^8 + 9 - 8y dy/dx = (9x^8 + 9 - 8y)/(1+8x) plug in your point and you are done.

  
  

Answer this Question

First Name:
School Subject:
Answer:

For Further Reading