tan(2r) lim 3r+ sin(x)

Q: Find the first and second derivatives.  f(x) = ln(5x+1)  Please explain and show how to do this…

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Q: 2. y = (cosx)(sin5x)

A: We will use product rule of differentiation to find the first derivative of this function. We will…

Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

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Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: 2 Find the derivative of: – 8 sin (3x°).

A: The chain rule of derivative states that ddx(f(g(x)))=f'(g(x))g'(x). The power rule of derivative…

Q: To help you start thinking about this, explain (in your words) how you would find the derivative of…

A: Given function to differentiate y=sin23x This can be differentiated using chain rule. Let y=fu and…

Q: Find the derivative of the following. y = -1/3tan3 x - sin2(2x)/tan x - cos2(2x) cot x +4

A: Differentiation of the function can be found with the help of the differentiation formula.…

Q: Discuss the relationship between the derivative dy/dx and (Lim) with drawing if it is required ?

A: See the attachment

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

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Q: =[in(4-x cos (r4

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Q: Find the second derivative of f (x) = 2 sin (3x). Enclose arguments of functions in parentheses. For…

A: Differentiate two times

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given, y=coshtan-13x

Q: 을 [ ] d dx tan-1(x)| 1+x?

A: To find derivative of arc(tanx) , we have to use some trigonometric identities and basic inverse…

Q: Obtain the derivative formulas for csch x, sech x, and coth x from the derivative formulas for sinh…

A: Given functions are sinhx,coshx,tanhx.

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

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Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: x-sinx 1. lim X-0 x-tanx

A: Given function is limx→0x-sinxx-tanx

Q: Find the derivative of the function using y = sin3x using 4 step rule. a. b. Find the first…

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Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

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Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

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Q: 1-cos 4x Find the derivative of y sin 4x

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Q: Given: f(x) = 1– sin² 4x . find the 5th derivative

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Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: sinx In (2) co cos x

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Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given: y=sinh(3x2 ln(1+3x)) Use chain rule for derivative: ddx(f(g(x))=f'(x)ddxg(x) And uv rule for…

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: The derivative of y=sin^{5}x

A: Differentiate using the chain rule dy/dx= dy/du * du/dx

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: Find all values 197. gh of aci on the the graph of f(x) = -3 sinxcosx where the tangent line is…

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Q: (1+sin2x)^1/x lim x approaches 0   So far I have broken it down to (ln(1+sin2x))/x and did the…

A: Let y= (1+sin2x)^(1/x)Then take ln on both sides.

Q: Va2-x² Y=Arc sin + a

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Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: sinx f(x) = COSX

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Q: 2. tanh-'x + lny1 – x²

A: We have to find derivative

Q: 10. (4x+5)sin 3x

A: We will find the solution to the given problem.  We will differentiate the problem with respect to…

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: sin 프)" 2. 4.

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Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: (x² +2)S UI -人 S-X

A: →First of all, simplify the given expression using logarithmic property.              ln(ab) = ln(a)…

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: y = sin(3x²) cos(3x²)

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Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx