Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS. Check to seethat the given point P satisfies the equation.b. Using implicit differentiation, find a formula for the derivativedy/dx and evaluate it at the given point P.c. Use the slope found in part (b) to find an equation for the tangentline to the curve at P. Then plot the implicit curve and tangent linetogether on a single graph. y3 + cos xy = x2, P(1, 0)

Question

Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS. Check to see
that the given point P satisfies the equation.
b. Using implicit differentiation, find a formula for the derivative
dy/dx and evaluate it at the given point P.
c. Use the slope found in part (b) to find an equation for the tangent
line to the curve at P. Then plot the implicit curve and tangent line
together on a single graph. y3 + cos xy = x2, P(1, 0)

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