WebFind the equation of the tangent line to the given function at the indicated value of x. f (x)=2cos (x), x=3π/2. Graph the function and the tangent line. Expert Answer 1st step All steps Final answer Step 1/2 Let us consider the given function f ( x) = 2 cos x. Explanation: WebNov 30, 2024 · x = cos t, y = sin t, z = t Where t = t 0, and use that result to find parametric equations for the tangent line at the point where t = π. Solution: The vector equation of the tangent line at t = t 0 is
Equation of a tangent - Differentiation - BBC Bitesize
WebJul 23, 2015 · Let the equation of the tangent be y = 3 x + c Now, solving the equation of the tangent line: y = 3 x + c & the parabola: y = x 2 − 3 x − 5 by substituting y = 3 x + c as follows 3 x + c = x 2 − 3 x − 5 (1) x 2 − 6 x − ( c + 5) = 0 For tangency we have the following condition determinant, B 2 − 4 A C = 0 ( − 6) 2 − 4 ( 1) ( − ( c + 5)) WebFind the equation of the line tangent to the graph of f at the indicated value of x. a) f (x) = 3+ lnx;x = 1 b) f (x) = 2+ ex;x = 1 3. Let f (x) = 5ex2−4x+1 a) Find the values of x where the tangent line is horizontal. b) Find the equation of the line tangent to the graph of f at x = 1. Previous question Next question This problem has been solved! hallots piroulie
How to find the equation of a tangent line - Varsity Tutors
WebNov 16, 2024 · The tangent line (at \(t = 2\)) is then, \[y = 4 + \frac{1}{8}x\] Before we leave this example let’s take a look at just how we could possibly get two tangents lines at a … WebThe tangent is perpendicular to the radius which joins the centre of the circle to the point P. As the tangent is a straight line, the equation of the tangent will be of the form \(y = mx … WebExample 1: finding the equation of a tangent. Find the equation of the tangent to the circle x^{2}+y^{2}=90 at the point (9,3). Find the gradient of the radius at that point. The … hallotte