Find d^2 y/d^2 x for y=3t^3+4t & x=6t^4+7t

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SUMMARY

The discussion focuses on finding the second derivative of y with respect to x, specifically for the equations y = 3t³ + 4t and x = 6t⁴ + 7t. To solve this, participants emphasize the need to first compute the first derivatives dy/dt and dx/dt. The method of parametric differentiation is highlighted as essential for progressing towards the solution.

PREREQUISITES
  • Understanding of parametric equations
  • Knowledge of first and second derivatives
  • Familiarity with differentiation techniques
  • Basic algebra skills
NEXT STEPS
  • Learn how to compute first derivatives for parametric equations
  • Study the process of finding second derivatives in parametric differentiation
  • Explore examples of parametric differentiation in calculus
  • Review the chain rule as it applies to derivatives
USEFUL FOR

Students studying calculus, particularly those focusing on parametric equations and differentiation techniques.

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Homework Statement



Find the d^2 y /d^2 x for y= 3t^3+4t and x=6t^4+7t

I just made one up similar to what my teacher gave to do

The Attempt at a Solution



Dont know how to do it, i know i need 2nd derivatives but what then help i need please
 
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Well first off find \frac{dy}{dt} and \frac{dx}{dt} and then try go at it from there. Use your knowledge of parametric differentiation.
 

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