Answer to Question #105388 in Calculus for SHIVAM KUMAR

Question #105388

Find dz/dt for z=x^2 y+4y^2 where x=cost and y=sint using the chain rule

Expert's answer

"\\frac{dz}{dt}=x_tz_x+y_tz_y=(-\\sin t)(2x)+(\\cos t)(8y)=-2\\sin t\\cos t+8\\cos t\\sin t="

"=6\\cos t\\sin t=3\\sin 2t"

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