Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. lim x→0 e^2x-1/e^x-1

Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

Q: use the limit definition of a derivative to find f'(x) f(x)= sqrtx+5

A: See the details solution in below

Q: Use the limit definition to find the derivative of the function f(x) 7 %3D x-3

A:

Q: Use the limit definition of the derivative to find f'(x). f(x) = 3 + 2x – x²

A: Given function isfx=3+2x-x2we have to find the  derivative by defination .Formula used :- finding…

Q: compute the derivative. f (x) = esec−1 x

A: f(x)=esec-1x

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: Find the derivative of the function f(x) = In(2a? + 5æ)

A: ddxln (x)=1xddxxn= n xn-1

Q: Find the points of discontinuity of the function f(x)=arctan1x if they exist.

A: The given function is not defined at x = 0. Now the left hand limit at x = 0 is, And the right hand…

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = | Need Help? Read It

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Q: Find the derivative of f(x) = arcsin 2

A:

Q: find the derivative of g(x)= sqrt(3x) - (tan(7x))^-1

A: Differentiate the given function g(x) with respect to x.

Q: f'(x) = lim f (x+h)-f(x) h-70 f(x) %3D

A:

Q: Use the alternate definition, lim Ax)-Aa) to determine the instantaneous rate of X- a change of Ax)…

A:

Q: Use limits to compute the derivative.   f ′(4) if f(x)=3x3 f ′(4)=?

A:

Q: Take the derivative of the following function by applying the limit definition of the derivative…

A: Use limit method to differentiate

Q: Sketch the graph with details of the function below by using the first and second derivative tests.…

A: We will use following properties of f(x) to draw its graph  # vertical asymptotes are vertical…

Q: Use the limit definition to find the derivative of the function. f(x) = x2 – 4x +3 -

A: f(x)=x2-4x+3 TO find: The derivative using limit definition

Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Find the derivative of the function. f(x)=arcsec(9x)

A: F(x) = arcsec(9x) F'(x) = ?

Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 1 x√ 16x² - 1

A:

Q: 3a. Use the limit definition of derivative to calculate f'(x) where. f(x)= 2x2 +x-1.

A:

Q: Use the definition for the function above to find the derivative. f'(x) = lim Submit Ax-o lim Ax-0…

A:

Q: Each limit represents a derivative f '(a). Find f(x) and a.

A: Given :           The derivative of a function f at a number a is…

Q: Use the four-step definition of the derivative to find f'(x) if f(x) = 5x 4. f(x + h) = f(x + h) –…

A:

Q: Find the derivative of the function using the limit definition of the derivative. f(x) = 3x - 8

A: We have to find the derivative using limit definition of the derivative for the function: fx=3x-8 We…

Q: Sketch a rough graph of the function without using acalculator.   y=   -In x

A: To Determine: Sketch a rough graph of the function without using a calculator. Given: we have y=-lnx…

Q: Use the limit definition of a derivative to solve the following of f'(x) f(x)=4x2-x+1

A:

Q: 1. Find the derivative of f(x) = 3x³ + 2x using the limit definition.

A: We have to find derivative using definition.

Q: Use the limit definition of the derivative of a function to find the derivative of f(x) = 4x %3D

A:

Q: Give the formula for a function which has vertical asymptotes at x=7 and x = -6 but is otherwise…

A: A function has vertical asymptotes at x=7 and x=-6 but is otherwise continuous.

Q: flx) • x 3 - 2x4 + 3x75x²+ lox f'/x) = lim f (xth)-f(x) h-70

A:

Q: Find the derivative of the function. f(x) = arcsec(3x)

A: Given Data: Function: f(x)=arcsec(3x) The derivative of inverse of secant of (x) with respect to x…

Q: Find the derivative of the following function using the definition of differentiatio f(x) = -Zx2 +…

A:

Q: o f(x) = 4~/x+3

A: by using definition of a derivative.

Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: Consider the given function as fx=100x,and gx=xx

Q: find domain of Function composition f(x)=,

A:

Q: 1. Differentiate and simplify: 2x f (x) = arcsin :2 +

A: Given,

Q: Suppose f(1) = Let h(x)= arcsin(f(x)). h'(-1) = and f'(1) - 2.

A:

Q: lim x→0 4-Vx+16

A:

Q: y = x arcsin x + /1 – x²

A: differentiation

Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: Sketch a rough graph of the function without using acalculator.   y=  2 arctan x

A: Solution:- Sketch a rough graph of the function without using acalculator. y=2 arctan xory=2 tan-1x…

Q: 1/3 for

A: Answer

Q: Please find f'(2) if f(x)=tan(5x). Show steps

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Q: Use the limit definition to find the derivative of the function. f(x) = 3x2 + 8x f'(x) =

A: From the limit defination the derivative of a function formula is f'(x)=limh→0[f(x+h)-f(x)]/h

Q: Determine whether f(x) approaches ∞ or – ∞ as x approaches -2 from the left and from the right. TX =…

A: Given figure To evaluate

Q: Use the limit definition to find the derivative of the function. f(x) = x² + 5x – 5 - f(x + h) – f…

A:

Q: Find the derivative of the funct f(x) = arcsec(7x) f '(x) =

A:

Q: Use the limit definition to find the derivative of the function. f(x) = 4x – 1 %3D f(x + h) – f(x)…

A: we have to find