Question 1 Differentiate the function F(t) = arcsin(ln(t)) · arctan(3t²) – arccos(/2). You do not need to simplify your final answer.

Q: Find dy/dθ by logarithmic differentiation.…

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Q: (Question 12) Find the derivative dy for the function dx function y = arctan(3x – 4). Your answer…

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Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: Use los, differentiation to find dydx X+3

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Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

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Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

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Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

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Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

Q: Find dy/dx by logarithmic differentiation. 62 +1 sin (6²) 1–62 f (8) = elatan"(20)

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Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Question 7 Let f(x) : (cot(x))ª. Use logarithmic differentiation to find an equation of the tangent…

A: Differentiate at given point then use equation of tangent line

Q: Question:4 Calculate by implicit derivatives (tan x)" + ycotx + sinxy – exy – In2 = 0 - dx

A: The given function is tanxy+ycotx+sinxy-exy-ln2=0 Now, we find the derivative of each term…

Q: Question 6 Find the derivative of the function y = 8ln(cos 2x)+ 5tan? (3x) Write the value of y' (0)…

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Q: Question (4): Find the first derivative of the following function: y = sin (x – x2)

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Q: 1. y = Arcsin(- x²+4'

A: Given: y=arcsinxx2+4 Differentiate the equation with respect to x.…

Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: Question 373 3x4 + 2 e-2z (7x + 2) Find the derivative of the function y using logarithmic…

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Q: Note, derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln…

A: We know that loga u(x) can be written as : logau(x) = (ln u(x)) / (ln a) = p(x)

Q: 28. f(x) = arctan /x

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Q: QUESTION 3 a) Evaluate the integral tanh (2x)sech (2x)dx.

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Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

A: Given ft=710sin2πt3 to find vt

Q: Question 2 Find the derivative of f(x) = x³ cos(x)

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Q: 1. Find S*-3**+ dx by hand and show how to check the result is correct by differentiation.

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Q: QUESTION 7 Using any of the rules we learned, find the first derivative of the function f(x) =…

A: Consider the equation

Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: Question (4): Find the first derivative of the following function: y = sin (x - x*)

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Q: QUESTION 3 3 Given that f(x) x+1 a) Find f'(x) using the definition of derivative. b) Find the…

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Q: Question 13. Obtain the derivative of the function f(x) = 2 ln(4x) Enter the answer as a function of…

A: topic - derivative

Q: 19. Differentiate f(x)= sin(ln x)

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Q: Question 3 Determine the derivative of ln(csc x) - cot x CSC I O csc x cot x

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Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

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Q: Question 12. Obtain the derivative of the function f(x) = sin(6x – 8) Enter the answer as a function…

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Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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Q: Problem 9 Find the derivative of the function y = x? cos (3x2 – 1) Show all steps of your…

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Q: Question 2: Compute the derivative of y = arcsin(cos(arctan(r))).

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Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: tan (log x) 2 dx 2 x(1+log*x)

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Q: Question 26 Calculate the second derivative of the function y = In(cosx). A -sec'x B) -csc2x csc?x…

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Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: Question 1 a) Using the method of first principle find the derivative of the function 1 f (x) =

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Q: Example 1 Differentiate each of (a) f (x) =2 x' cosh x sinh t (b) h(t)=

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Q: Question 6 Determine the derivative, y': y = log, (In a?) %3D Oy = z In 5 In a Oy = = z In 5 In z Oy…

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Q: Question 1: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the…

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Q: Question 2: dy a) Find for the following exponential function y = dx - 3e2x+1 -eV b) Using…

A: derivative

Q: (1–2x)3 1+x2 dy Question (4): Find by logarithmic differentiation for f (x) dx

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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