Find the derivative of: g(x) = (1+1/x) / (1 – 1/x)   -2(x-1)^2 (1+1/x) (1-1/x) / (1 – 1/x)^2 (1 – 1/x)^2 (1+1/x)^2 None of the above

Q: Let y = 2 ln x - 1/2x then the first derivative is....., the first order condition is..... and the…

A: Given: y=2 ln x-12x To Find:  To determine the first order derivative.To determine the first order…

Q: (1)Let f(x)=x -7x+15. Find the derivative, f'(x) using the definition of derivative. Also find the…

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Q: 11) Find the derivative of y = 3x (2æ² + 5x) Use two methods: Product Rule and Foil First method

A: Find the derivative of y

Q: Find the first derivative of the given function by a. definition or increment method. b. formula…

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: The derivative of a certain continuous and differentiable function is given by: y = 3-x - 12-x +9.…

A: For maxima-minima, derivative of the function must be zero. That is,…

Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: What is the derivative of f(x) · g (x) in terms of f g? -1 Compute the derivative of -sin(x) · 2x…

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Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

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Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

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Q: Find the derivative 2x %3D 1-x2 (1–x2)? 2 1-x2 (1-x2)? O None of these

A: We use Quotient rule to solve this derivative

Q: Find the derivative if f(x)= ((x/2) + (x √x))ex

A: The given function is fx=x2+xxex. Obtain the derivative as follows.

Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

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Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: . Y= In (- (x-2)2

A: To solve the second derivative of the function

Q: Find the derivative of the function. f(x) = (2x − 2)4(x2 + x + 1)5

A: Important Points: [ A(x) B(x) ]' = A(x) B'(x)  +  A'(x) B(x)  [ xn ]' = n xn-1

Q: Using the derivative of 10x determine the value of the derivative at   x=3 and x=5

A: Derivative ( xn) = n xn-1

Q: Find the derivative of the function using the definition of derivative. 1 f(x) = x2 - 16 f'(x) =…

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Q: Find the derivative of the function. f(x) = ln   1 2x8

A: Given,         fx=ln12x8

Q: Calculate the derivative of f1 (x) = (2x + 3) / (x - 5) using the definition of the limit of the…

A: (1) Given function is f1x=2x+3x−5 We have to find the derivative of f1x by using definition of the…

Q: Find the derivative of y with respect to x. y = csc-1(x5 + 1) ; x > 0

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Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: Find the derivative of all orders of the function. y3D x'-x + 5x-9 y3= %3D

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Q: Find the derivative of f with respect to x of f(x)=ln x8.

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Q: Find the derivatives of inverse function: y = sec-1squareroot of 1 + x2 AND…

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Q: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

Q: derivative of y with respect to x. Use the given relation in its implicit form. (x - y)2 = 2ax.

A: We will find the derivative.

Q: Find the derivative of f(x) = ln(2x^3 + x).

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Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Find the first derivative of y=3x^2-2√x

A: We have to find the derivative from the given function

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

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Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

Q: 11) у %3D 14-X Find the derivative. ex 8) у %3D In x

A: topic - derivatives

Q: g(x)=(2x-x3) h(x)=(8x+5) f(x)=(2x-x3)(8x-5) Find g1(X) and find h1(X) Use product rule to find…

A: Given functions are:

Q: 2) Use the Chain Rule to express the second derivative of ƒ • g in terms of the first and second…

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Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

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Q: Find all x-values where g(x) = −(x^3 )+ 3(x^2 )+ 9x − 20 has a horizontal tangent line (that is,…

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Q: Find the derivative of the function h(x)= ln(5x+1/7x-2)

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Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given f(x)=x(x-1). a) Find first derivatives of function f(x) using product rule and chain rule.

A: Our objective is to find the derivative and critical points.