Let f(x)be defined on the closed interval [a, b] such that the point a secant line passes through points (a, f(a)) and (b, f(b)) and the distance between a and b is y, using the definition of the derivative, find the derivative off from the given secant line.

Q: Find the directional derivative of the function at the point P(2,1) in the following direction:…

A: The given function is:f(x,y)=3x2y-2xy2+y3-9P=(2, 1)Direction vector:  v=3i-5j

Q: Exercise 5: For the following graphs, sketch a graph of the derivative (i.e., you are given f;…

A: Consider the given curve of f(x).

Q: Find a and h such that f(a+h)-f(a)/ h is equal to the slope of the secant line. secant line between…

A: The objective of this question is to find the values of 'a' and 'h' such that the difference…

Q: f(x) = 4√x + 2x1/2 – 8x-7/8 + x2 1 23 +2

A: The given function is fx=4x+2x12-8x-78+x2-1x3+2. Find the derivative of the given function. Here we…

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr 6.…

A: