F'(x) = G'(x) Suppose that we know that derivatives are equal for every x in a certain open interval. Then what do we know for every x in that same open interval?

Q: Find the derivative by the limit process. x) = 11 -x

A: Given, f(x)=11-x2

Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: If f(x)=4/x, find the derivative of f(x) at x=2 using the limit definition of the derivative at a…

A: given function f(x)=4/x we have to find a) the the derivative of f(x) at x=2 using the limit…

Q: Find the derivative of the function by the limit process.

A: Given: fx=x2+x-3 To Find: The derivative of the given function by the limit process

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find the derivative of the function by the limit process. f(x) = 6/x

A: Given fx=6xddxfx=limh→0fx+h-fxh

Q: What is the derivative of 2(x)ln(x)+x

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Q: What is the derivative of f(x)=3cos(x)+2sin(x) at the point x=−π

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Q: 13. f(x) = e* In x

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Q: Which functions have a negative first derivative for all x?

A: Which functions have a negative first derivative for all x?

Q: If f(x)=1-x/2+x find the derivatives of f (using f'(x)=lim h-->0 f(x+h)-f(x)/h

A: The given function is fx=1-x2+x.

Q: How to find the critical points of this derivative

A: We have to find critical point of f(x),where f'(x) is given by:

Q: By using the limit definition of a derivative, determine the derivative of f(x) = 1/x at x  = 2

A: By using the limit definition of a derivative, determine the derivative of f as shown below:…

Q: Find the derivative of the function by the limit process. f(x) = 6/x^2

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Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 8

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Q: 7 Let f(x) x – 9 * Then according to the definition of derivative

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Q: A continuous function has a derivative at every point in a given interval. True or False?

A: function is differentiable means that function is continuous as well as smooth at every point of…

Q: Find the derivative of the function by the limit process.

A: Consider the function, fx=12 The limit definition of the derivatives of a function is given by the…

Q: Find the derivative of f(x)= xtan(x)

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Q: derivative of f(x)= 3sin2x

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Q: Find the derivative of the function by the limit process. f(x) - f'(x) =

A: The given function is f(x)=4x2We have to find the derivative of f(x).

Q: find the derivative of f (x) at the designated value of x. f (x) = 1/x at x = 2/3

A: Given: f(x)=1x To find the derivative at x=23

Q: 3) Find the derivative of the function f(x)= x² –x+2 using the definition of the derivative (a…

A: Given:     To determine: Derivative of the function using the definition of the derivative.

Q: How do you find the derivative of f(x) = 5 using the limit definition of derivatives? I know it is…

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Q: Find the derivative of f (x) = -4 tan (x).

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Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: Shows that if a function f(x) is continuous in interval [a,b] then most likely the derivative of…

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Q: Give an example of a function that is defined for all real numbers, is continuous everywhere, but…

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

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Q: Find the derivative of the function f(x)=1/x using limit definition derivative

A: According to the given information it is required to calculate the derivative of the function using…

Q: Find the derivative of the algebraic functions f(x) = x (1-) x+3, : g(x) = x + cotx

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Q: k(x) = x In x %3D

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Q: Find the derivative of the function by the limit process. f(x) = 7

A: The given function f(x)=7. The derivative of the limit  for the function f(x) is defined by So, to…

Q: Find the relative extremum of g(x) = x - 3x +1 by using first derivative test.

A: Let g(x)= x3-3x2+1 To find the relative extremum , here we use first derivative test In this method…

Q: how to find the derivative of 1-sec x

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Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: If a function is increasing everywhere (and it has a derivative), then it's derivative function is…

A: explanation of above question is given below,

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: The function f(x) whose derivative is sin x and whose graph passes through the point(0, 2)​

A: we have to find the function f(x) whose derivative is sinx and whose graph passes through the point…

Q: The function whose derivative is given by f'(x)=(x-¹), x 2. What is the #+2 critical point of f?

A: Critical point of a function is a point where either the derivative of function is zero or not…

Q: Find the first derivative of g(x) = 2 In(x)tan(x*). g'(æ) = %3D

A: Given that g(x) = 2ln(x) tan(x^4). Find first derivative of this function. We know that derivative…

Q: h (x)= 3

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Q: 5-cos x 3) f(x) = 5+sinx foo

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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…

Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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