5. Find the derivative of each problem below, do not simplify. tan(2.x) f (x) = x² +2 а. b. f(x) = In(sin² 3.x) f (x) = e*ec* sec x с.

Q: 2. Compute the derivative of the following functions: 1-e-* (a) f(x) = V1 – sin³ x, (b) f(x) =

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Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

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Q: Please I want solution of question 7 with step by step. Many Thanks

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Q: 01:- Find the first order derivative of each of the following functions: (1+x)3 sec(x2) y = ex.sin2…

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Q: 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = X-…

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Q: 2. Find the derivative of the following functions: (5x+ 1)'(x + 3)5 cos°(x) sin°(x) (a.) f(x) = .…

A: Given f(x)=5x+77x2+35cos2x sin3x3   As per our guidelines we are supposed to answer only first…

Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

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Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

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Q: 13. Find the derivative at x = a for f(x)= /sin(4x) 2 Vsin(4a) cos (4a) Jsin(4a) 2 sin(4a) Vsin(4a)…

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Q: Which of the following is the third derivative of y, if * y = (sinh 5)x2

A: we have to solve the problem

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: 3. Find the derivative y'(x) implicitly. cos²x + cos²y = = cos (2x +2y)

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Q: (3) Compute the derivative of the function e2t cos tdt.

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Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: # 5) Find the extrema points for the function f (x) = using the second derivative tes 1+x x2 %3D Fon…

A: To find the extreme points.

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: 1. Find the derivative of the function sin (4x) f (x) = V 3x

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Q: 6. Find the derivative of the following (express answer in simplest form): 1+ sinx a. f(x) = In…

A: Topic = Derivative

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: S Sin 5t-205 2t-2(03 2€ ; s(登)=

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Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: In (6x) Find the derivative of y with respect to x if y = sin (3e) dt.

A: the given function is: y=∫0ln(6x)sin3et dt we have to find the derivative of y with respect to x.…

Q: 1- Solve the second derivative forf(x, y,z) = e sinay3) əx2

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Q: 22. Find the derivative of y = arcos(4x) with respect to x. - 4 4 - 4 - 4 В. 1-4x2 С. Vi-(4x) A. D.…

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Q: Can you help me step by step with this problem?

A: Given,

Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: Calculate the derivative of the following function. y= sin (cos (3x)) If the Chain Rule only needs…

A: In the question we have to find derivative of the given function.

Q: 3. Calculate the derivative of the following functions. DO NOT SIMPLIFY a. f(x) = tan (In(x) +x² –…

A: Trigonometris identities d/dx(tanx)=sec2x d/dx(in(x))=1/x d/dx(xn)=nxn-1 d/dx(sinh(x))=coshx…

Q: 3. Find the derivative y'(x) implicitly. cos?x + cos²y = cos (2x + 2y)

A:

Q: 5. Find the derivative of the following. 3x-5 а. у3 b. y = In (sin(3x-5)) c. y= e2x arc tan (2x + 3)…

A: Explanation of the answer is as follows

Q: In (4x) Find the derivative of y with respect to x if y = sin (8 e') dt.

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Q: Can you help me step by step?

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Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: 29. Prove the following derivatives by using the definition of derivative. (a) (") = n. dx nxn-1

A: topic - derivative and limits

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: 1) Find the derivative of the given function with respects to 0 y = 3lan In 3

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

Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: 3 Find the derivative of the following functions. (Answer five only) 1-r= 120--4e-3+e- 2- y = (sin x…

A: differentiate

Q: 11 with respect to x is The derivative of y = cos - 1

A: