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.

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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: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

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

Q: Let / be a differentiable function that satisfies Then f(x+y)-f(x) = 6 xy + 3y2 for any real numbers…

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Q: The derivative of ƒ(x, y) at P0(1, 2) in the direction of i + j is 2sqrt(2) and in the direction of…

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Q: Use the Cauchy-Riemann equation to determine if the function f(2) = x³ – i(2 – y)³ is analytic or…

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

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Q: Find the directional derivative of the function at the point P in the direction of the point . f(x,…

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