Find the slope of the secant line between x=a and x=a+h. Simplify the answer then find the slope of the tangent line by taking the limit of the slope of the secant line as h approaches 0. f(theta)=cos (theta) for a= pi/6

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A: Given equation is Differentiating both sides with respect to x, we get.

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A: We have to find the tangent equation.

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A: We use implicit differentiation with product rule

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A: Using equation of tangent formula.

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A: We plug x=1 and y=0 in the given equation So the point satisfies the equation

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A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

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A: Given         r = cos θ ---------------------------------------(1) Differentiating with respect to…

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A: Differentiate at given point and for and slope then use equation of tangent line

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A: The parametric equation of curve is,  we have to find the tangent line at

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A: Find the equation of line

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A:

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A: Given the parametric equations x-3 sin (t) and y=3 cos (t)First we will find the slope of the…

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A: WE have to Determine the slope of the tangent line to the given curve at the specified point…

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A: Given: x=rt-dsin(t), y=r-dcost To find: Slope of tangent line to given trochoid in terms of t, r and…

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A: Given,

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A: Follow step 2 .

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