3. Are the products of the following functions even, odd or neither? a) f(x) = x³, g(x) = |x| b) f(x) = cos x, g(x) = x* + 3 c) f(x) = sin x, g(x) = log x + 5

Q: Let COS X if x 0 %3D | (a) sketch the graph of f (x) (b) Is f (x) continous at x = 0? Give reason/s…

A: f(x)=cos x         if x<00                 if x=01-x2         if x>0

Q: What is the derivative f'(x) of: f (x) = elő e-t²dt (We are in te subject of Logarithm and…

A:

Q: Use logarithmic differentiation to find the derivative of y. 7) y = 1 X - 7 1 (1 1 A) 2 x В) х- 7…

A: We use  Logarithmic properties

Q: Question 4. Find f/ (x). (a) f(x) = xsinx (b) f(x) = sech-1x²

A:

Q: 5. Consider the function f(x). f(x) = (2x² + 3x + 1 |x| sin(x - 1) + 1 if x < -1 if -1 < x < 1 if 1…

A:

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: csc[In(tan e4*)] CsC y = coth[In(1-x)1/3]

A:

Q: Q3) Find the derivative of y for all functions the following (1) y = 0 (sin (In 0) + cos (In 0)),…

A: Since you have posted multiple questions, we have solved the first question for you, if any specific…

Q: 22. State True or False. Let f(x)=sin'(x) + log(x) then domain of f(x) is (-*, ). a) True b) False

A: To check whether the statement is true or not. The statement is Let f(x)=sin2x+logx then domain of…

Q: Suppose g(x)= 3 2(1–5x)3 k (1–5x)4' with a derivative g'(x) = - " for some real number k. What is…

A:

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: e of mwl

A:

Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Question 12. Consider f(x) = . Determine the second derivative of f(x) and evaluate it at -2r²)2 •…

A: See solution below

Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: Question 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

A:

Q: The derivative of f(z) = Log(2iz – 4 + 6i) at z = -3 + 4i is Log(-12). Undefined. 2i -12 None of…

A: Derivative of function f(z)=Log(g(z)) where g(z) is some complex function. f'(z)=g'(z)g(z)…

Q: 17) Find the derivative of y = x? COs x - 2

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Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

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Q: 1. The derivative of (g(r))" is n(g(r))"-.g' (r). Use this to find the derivative of the following:…

A: