I need help with this problem and an explanation of the solution described below (This is based upon Parametric Curves): Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.x = t² + 1, y = t³ + t;y =t = -1

x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

Answered: Find an equation of the tangent to the…

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t¹ + 1, y = t³ + t; t = -1

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.3: Implicit Differentiation

Problem 29E

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Question

I need help with this problem and an explanation of the solution described below (This is based upon Parametric Curves):

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.
x = t² + 1, y = t³ + t;
y =
t = -1

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Step 1: Using the power rule to differentiate

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Step 2: Using point slope form of line to find the equation of tangent

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