Here are the steps to find the equation of the tangent line at a point t = t 0. Substitute t =

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Find an equation of the tangent line?

To find the equation of a tangent using implicit differentiation: Differentiate the function implicitly. Evaluate the derivative using the x and y coordinate values to find ‘m’. Substitute the x and y

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Equation of Tangent line is: ( x – x 1) = m ( y – y 1) ( x – ( − 4)) = ( − 1) ( y – 2) x + 4 = − y + 2. y + x – 2 + 4 = 0. y + x + 2 = 0. When using slope of tangent line calculator, the slope intercepts

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tangent\:of\:f(x)=\frac{1}{x^2},\:(-1,\:1) tangent\:of\:f(x)=x^3+2x,\:\:x=0; tangent\:of\:f(x)=4x^2-4x+1,\:\:x=1; tangent\:of\:y=e^{-x}\cdot \ln(x),\:(1,0) tangent\:of\:f(x)=\sin (3x),\:(\frac{\pi