First Class Find The Equation Of Tangent Line To The Curve

Equation Of Tangent Line This means that to find the equation of a tangent line to a curve f x we simply need two elements.

Find the equation of tangent line to the curve. Y 2 x 9 This is of the form y m x c. To find the first derivative of the parametric. To determine the equation of a tangent to a curve.

Calculus questions and answers. To determine the equation of a tangent to a curve. Well use the same point-slope formula to define the equation of the tangent line to the parametric curve that we used to define the tangent line to a cartesian curve which is y-y1mx-x1 where m is the slope and x1y1 is the point where the tangent line intersects the curve.

From my understanding to get the curve I would plug in y 3 so z 2 x 2 9 is the curve. Differentiating the equation of the curve with respect to x we get d x d y 2 x 2 Since the tangent line is parallel to 2 x y 9 0 d x d y slope of the straight line 2 2 x 2 2 x 2 Substituting x 2 in the equation of the curve we get y 7 Hence equation of tangent. 2 31 c.

There are many ways to take derivatives. The tangent line to this curve would be the derivate with respect to x therefor my tangent line. Y x 3-3x.

We know that m3 from dy dx 3. Is your mind blown yet. The equation of the line is 2 x y 9 0.

For writing the tangent line equation we can find the slope of the curve by using the derivative technique. 2 2 x 2 2 x 4 x 2. Then we put c back into the general form to get the final tangent equation.