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- A function f has the tangent line y=2x+1 at the point (3,7). Find the equation of tangent line of f^-1 at the point (7,3) in slope-intercept form.Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3xusing First Principles.Using implicit differentiation, find the slope of the tangent line to the graph of the curve x^4 + y^4 = 17y at the point (2, 1).
- Find equations of the tangent lines to the curve y= (ln x) /x at the points (1, )d and (e, 1/e). Illustrate by graphing the curve and its tangent lines.Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3 b) Which positions x does the graph of y=x^3+3x^2+x+3 have a horizontal tangent line?Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).
- using the equation f(x)= x^2+x find slope of tangent line f′(2) using the limit definition of a derivative and the tangent line at x=4Using the mathematical expression of the definition of the derivative, as you learned find the equation of the tangent line to y = 7x - x2 at the point (1,6).Solve for the equation of the tangent line to the curve y=3x2-4 that is parallel to the line 3x+y=4 using the slope of tangentline’s (mT) definition. Then, solve for the equation of the normal line too.