Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the tangent line, to approximate 0.201 1 the tangent line to f(x) at a "nice" point near 0.201. Then use this to approximate 0.201

Q: f(x) = √x; x = 25, x = 100. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find…

A: Given f(x)=x

Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

A:

Q: c. TRUE or FALSE. The tangent line for a function g(x) at the point x = a can be found using the…

A: We know that the equation of the line passing through a,b having slope m is:y-b=mx-a

Q: I need  a and b both answer

A: We need to use nearby data points to approximation the derivative in order to estimate the second…

Q: Evaluate the derivative at x = 1 for y = I (

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Determine an equation for the tangent line to f-(x) at (4, 7) given that y-4= (x - 7) is an equation…

A:

Q: f(1) = (9t + 7)²/3 %3D a. Find the derivative function of the function written above. b. Find the…

A: Please find attachment for the details solution

Q: f(x) = √√√x + 2; a = 7

A:

Q: Consider the function f(x)=9x-x² and the point P(2, 14) on the graph of f. Estimate the slope of the…

A: we have given function

Q: Q14 Find the equation of the tangent line to f(x) = 3lnx - 5x at x = 1.

A: We have to find the equation of tangent at the given point. First we will find the y-coordinate of…