Question #ccf19

2 Answers
Jul 17, 2017

We will use the chain rule.

Explanation:

so we must solve for #t# and we get #x=t^2 iff t=sqrtx#
so #dy/dx=dy/dtdt/dx=2*1/(2sqrtx)=1/sqrtx#

Jul 18, 2017

#dy/dx=1/t#

Explanation:

#•color(white)(x)dy/dx=(dy/dt)/(dx/dt)#

#y=2t+3rArrdy/dt=2#

#x=t^2rArrdx/dt=2t#

#rArrdy/dx=2/(2t)=1/t=t^-1#