Functions: Equation of Tangent Line

Related BrainMass Solutions

• Tangent Lines and Logarithmic / Exponential Functions

  to the intercept of the tangent line to the respective functions at the point (a, b).

• Derivative applications

  The equation of tangent: y - exp = 2.)

• Function multiplication, equation of a circle & tangent line

  The slope of the tangent line is the negative reciprocal of 4/3, which is -3/4. Next, the y-intercept of the tangent line through (0, 0) is 0 by definition. Thus, the tangent line's equation is y = -3x/4.

• Tangent and normal lines

  So, the slope of the tangent line is k=y'(0)=2 So, the slope of the normal line is k'=-1/k=-1/2 Therefore, the equation of the tangent line is y-2=2(x-0) i.e., y=2x+2; and the equation of the normal line

• Equation of the tangent line

  functions f(x) = 4sinx / (2sinx+4cosx) the equation of the tangent line to f(x) at a=0 is y=sx+b Find: y=sx+b First we need to calculate the first derivative of f(x).

• Differientiate the function and tangent line

  That is, there is no horizontal tangent line to the graph. Thus, answer is b. There is no solution. It provides several examples of finding the derivatives of the functions. It also shows how to find out the tangent line to the curve.

• Identifying Function, Derivative and Second Derivative from a Curve

  The equation of this tangent line can be written in the form where is: Solution.

• Equations of Tangent Lines

  The equation of a tangent lines to an exponential functions is found.

• Finding a derivative by implicit differentiation

  b) i) find an equation of the tangent line to the graph of the function f(x) = xln, at; (1,1). ii) Find the equation of the tangent line to the graph of y = e^2x-3 at (3/2, 1). Dear Student Please find the attachment for the solutions.