I. Find an equation of the tangent line to the graph of 1 t cosh (t² – 1) dt - f (x) = 1 tan-t 1+ln (x) at the point where x = 1.

Q: Find the tangent line to the curve y = 2 tan (πx/4) at x = 1.

A: We first find y' at x=1 using chain rule

Q: Find the equation of the tangent line to the curve y = 1/x at x - -1 O a. y= -3x-4 b. y = 3x - 4 O…

A: The slope at point (x1,y1) of the function f(x) is given by :     The equation of the tangent line…

Q: Find the equation of the tangent line to the graph of y = f(x) = 2 tan(x) at the point a = 0.

A:

Q: Q1 (6 pts): Consider the implicitly defined function x²y² + e²y — tan x - a. Find the derivative of…

A: Let's solve the problem step-by-step.Part (a): Finding the derivative To do this, we'll use implicit…

Q: Find the equation of the tangent line to f at x = a. f (x) = 3 − 4x,             a = 2

A:

Q: 1. Use implicit differentiation to find the equation of the tangent line to e =x+y at x=0. The graph…

A: We will differentiate with respect to x and find the slope of the tangent at the point x = 0 as…