Q7/ find the derivative () answer five only 4- f(x) = (sinx + cosx) secx 5- f(x) = Vx2+R 6- f(x) = (x² + e* ) 7- f(x) = *+ 5 sinx %3D

Q: Find the derivative. Simplify where possible. y  = x Sinh-1 (x /3)  - √ (9+x2)

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Q: Find the equation of the tangent line to the function f(x)=−3x2−2x at the point where x=1. Give your…

A: Here we find the equation of tangent line of the function fx=-3x2-2xat x =1

Q: Find the first derivative of g(x) = 2 ln(x)tan(x*). 2 tan(4) g'(z) = | 82 sec²(4) In(z)+ X syntax…

A: We will solve the problem. The syntax error is ln(x4)  instead of 'CAPITAL i'. Refer to the final…

Q: Find the derivative. Simplify where possible. y = sech - 1 ( e -x )

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Q: 2. Find the derivative. Simplify where possible. (b) у %3 tanh-1(г3)

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Q: Va2 -x2 y=Arcsin + 6. X

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: 1. Find the derivative of f(x) = tan³(sinx) + %3D

A: The given function isf(x)=tan3(sinx)+x3+3x4

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: find the derivative using the appropriate rule or combination of rules. y = (cos3 x + 3 cos x + 7)9

A: We have differentiation of nested functions . In nested function form of differentiation we have one…

Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

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Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: pret 30. f(x)= e2! dt 2-x

A: Given that: f(x)=∫2-xxexe2tdx

Q: y = ǀsinx ǀ Estimate and list out the values of x where derivative of this function does not exist

A: Solution:- The given function is  y=|sinx| the graph of the above function y=|sinx| is given below.…

Q: What is the 28th derivative of sinx? A none of the given choices B -sinx (c) cosx D -cosx E sinx

A: In this type of question we try to find cycle of derivative after which it will repeat itself and…

Q: Using the limit definitoin of the derivative, comput the derivative of the function. x^3+3x^2+x+3…

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

A: The equation is given by

Q: Find the x-value of the extrema by using the Second Derivative Test. Justify your answer. 1 f(x) =…

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Q: What is the 28th derivative of sinx? (A cosx B sinx -cosx D none of the given choices - sinx

A: we have to find out the problem

Q: Solve for the derivative of y=sec3(2-3x) With the answer 9 sec3(2-3x)tan tan (2-3x)  Show…

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Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: 6. Find 39th derivative of f(x) = sinh(x). A. sinh(x) B. cosh(x) C. – sinh(x) D. - cosh(x) None of…

A: Derivative of sinh(x) is Cosh(x) and  Derivative of Cosh(x) is Sinh(x).

Q: 3) Determine the derivative of f (x) = (2x)53*. 4) Determine the derivative of f (x) = sin…

A: 1. By using u.v rule 2. By using chain rule

Q: Find the derivative of h(x) = Provide your answer below: h'(x) = tant attribution 2 ;)? 2x -3x - 4

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Q: Find the derivatives of the functions in Exercis

A: we have to find the derivative of the given function. g(t)=1+sin3t3-2t-1

Q: Find the 39th derivative of the function f(x) = cos(x). The answer is function

A: Given f(x) = cos(x)

Q: 2. Using the definition of derivative, prove the following: (a) fo= if s)-V (b) y-sec'x if y tanx

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: How do I find the derivative of this problem?

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Q: 3) Find the second derivative of 2x f(x) = for x + 0 3x2+4x Show all steps. Simplify your answer as…

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Q: x2 - 1 :) = x² + 2' refer this time? ag .2

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

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Q: 3) Use the definition of derivative (do NOT use the short cut method) to find_ƒ'(x) given that f(x)…

A: This question is based on finding slope using definition of derivative.

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: 5. Question Use the sec ond derivative test to det er min e whether f(x) = 4x3 + 21x + 36x + 20 has…

A: we have to find the minimum and maximum for the given function f by using second derivative test

Q: Find the derivative of the function y = sin^-1 x/sqrt 1 + x^2 – tan^-1 x. %3D

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Q: Q1: Calculate the 5th derivative of f(x)= (2x-5) sin x *

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Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: What is the 28th derivative of sinx? sinx B none of the given choices -cosx D -sinx A)

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Q: 11) у %3D 14-X Find the derivative. ex 8) у %3D In x

A: topic - derivatives

Q: Find the derivative of the following function using the LONG METHOD (limits). Provide your…

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Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: 8ubject find the derivative of y= X. Ln (esé'sx)

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Q: 5. Find the second derivative of f(x) = arctan(2x"). (You do not need to simplify your answer.)

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Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: How do I find the derivative of this problem?

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Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

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