Slope Formula

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Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=2+sin3 θ, θ=π/ 4 | Numerade

SOLVED:For the following exercises, find the slope of a tangent line to a polar curve r=f(θ). Let x=r cosθ=f(θ) cosθand y=r sinθ=f(θ) sinθ, so the polar equation r=f(θ) is now written in parametric form. Use the definition of the derivative (d y)/(d x)=(d y / d θ)/(d x / d θ) and the product rule to derive the derivative of a polar equation.