18- y′ for y = ln( 2x^3- 3x). correct answer: 6x^2-3/2x^3 -3x (3.4) 20- dy/dx for y = e^-2x ln 5x. correct answer: 1-2x ln 5x/xe^2x (3.4)

Q: Find the derivative of k(x) = log3(x) cos

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Q: question 32

A: Given,

Q: Problem 2. Find the derivatives of the following functions and simplify your an- swer as much as…

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Q: Find the derivative. y= In x+3 %3D

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Q: Right- and left-hand derivatives Let f (x) = |x|. (a) Calculate the right-hand derivatives of f(x)…

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Q: Find the derivative of each of the following. A) f(x)= 125 5x B) g(x)=x³5x g'(x) = C) h(x) = log 5 x…

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Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: Given F(1) = 1, F'(1) = 1, F(2) = 3, F'(2) = 7 and G(2) = 1, G'(2) = 5, G(3) = 6, G'(3) = 2, find…

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Q: Consider the following functions. x3 - x (x³ – x)4 f(x) g(x) %3D h(x) 7(x3 - x)4 Find the derivative…

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Q: K Find the derivative. 3 In (x+4) 2 y=- y' = 0

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Q: Could you write it in llegable writing? I have dyslexia

A: 1)  y=arctan(x4) differentiate both side with respect to x, we get⇒dydx=11+(x4)2 ddxx4…

Q: Evaluate the derivative of indicated order of the following functions: d2 (x cos(x² + 3x) а. dx2 d…

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Q: The weight w(x) (in pounds) of a particular fish that is x inches long can be estimated by the given…

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Q: 2x 2. Determine the derivative y' = dy/dx for the function y (sinx)" %3D

A: The function is given by y = sinx2x                         .........(1) To evaluate : The…

Q: Question 4 If f and g are the functions whose graphs are shown, let h(a) =9(f(x)). Find h'(1). -2…

A: First we find h'(x).

Q: 1 8. f(x) = 2x

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Q: 5. Find derivative y' 4=x²(nx %3D

A: Given:  y=x2lnx Product rule: When y=u(x)v(x) dydx=dudxv+udvdx

Q: For Problems 41-44, let h(x) = f(g(x)) and k(x) = g(f(x)). Use Figure 3.21 to estimate the…

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Q: 17. If g(x) = ln(cos x), what is g'()?

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Q: IV. Implicit differentiation 2. x'y - xy2 +x? + y2 = 0, find y' %3D

A: First of all differentiation the given equation with respect to x using the product rule for the…