13x Find the derivative of the function y = 2 tan¬1 (5x ). (Use symbolic notation and fractions where needed.)

Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

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Q: 2. Find the derivative of the following functions: 5x + 6 (a) y = 8х — 1 )(",-) 2 8. - 8 (b) r =…

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Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: Q3) find the derivative of each function: 1) y=x sin 2x +x cosx

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

Q: nd the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) Vx² + 10x h…

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Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: 01) Find the derivative of the following: x2 + 3 y (x – 1)3 + (x + 1)³ 2x2 + tan x f(x) : %3D x2 sec…

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

Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

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Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

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Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: b) Find the derivative f'(x) in the following cases. 5x+1 1. f(x) = 2x-1. 2. f(x) = 3. f(x) = csc x…

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Q: Q2: - Find the second derivative of the following function at x = 2 15 marks 1) y=+ V 2) y 3 (x +)…

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: Find the derivative of the following. 1. g(x) = cos-1(e5x² +9x) 2. h(r) = 10tan-(5r*+10r²+3r)

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Q: Q1:- Find the first order derivative of each of the following functions: c) y sin x = x tan y

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Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: The derivative of f(x) = 2 cos 2x is an odd function.

A: Odd function

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: 13. Find the derivative of the following functions and simplify the answer: 6x+ VE (a) 7x2 – 1 e…

A: As we know that the derivatives of:-  the Quotient Rule:  fg'=f '·g-g'·fg2 Apply the Sum/Difference…

Q: (a) Find the derivative of cos(1+x²).

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Q: 5. y = xArctanx - In V1+x

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Q: 5х f(x) = 2) Find the first derivative given that J2x+3

A: Solved below...

Q: 6. Take the derivative of the following function and simplify as a simple fraction which cos x does…

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given, f(x)=sin(2x)+17

Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 5. x= y= t2-1

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: - 7x Find the derivative of the function y =e sin 3x.

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Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

Q: a) Find the derivative of the function: T+ V3x f (x): 3x-1

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: 2. Find the derivative of (a) f(x) = x* + 3x 2+ 4e" 4 (b) f(x) = 2 tan(x)- 2"

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: f(x) = e²x cos(x)

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Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer…

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Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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Q: Q/2: Find the derivative of the following: (a) y = (x²ln x)* (b) y = In 1-x

A: According to power rule of differentiation . According to product rule of differentiation .

Q: Q1) Compute the derivative of the function f (t)= | sin² x²dx. -t

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Q: Q2. a) Find the 5th derivative of xʻsin4x (hint: it is simplest to use Liebnitz's theorem)

A: We are authorized to answer one question at a time, since you have not mentioned which question you…