Q 7. Is cos x| differentiable in (-oo, oo). If so find its derivative. If not, is it differentiable anywhere? Explain.

Q: Use lagarithmic differentiation te find the derivative of { with respect to the given independent…

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

Q: 1.) Using the DEFINITION (using Ax or h) of derivatives, compute for the derivative of the function…

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

Q: Find the derivative of the functions. (Answer Five only ) xIne 1- y = In x 2 In 5 In 25 2- y =…

A: In this question we have to find the derivative of the functionwe

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ( ,0) 2- y= x2 at the…

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Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: Q4: Find the derivative of the function at Po in the direction of A 3) f(x, y, z) = xy+ yz + xz,…

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cot(x) at z =; using a value…

A: Given, y=cotx  at x=π2  ,  h=π4

Q: x3 + xy² + x + i(x²y + y³ – y) x² + y2 F(z)

A: We have to find the derivative of f(z).

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point E,0) 2- y= x2 at the…

A:

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: 2. Using the definition of derivative, prove the following: 1 (a) f^(x) = if f(x) = Vx (b) y= sec? x…

A: To find the derivative using definition

Q: Find the derivative of the function f(z) = √2 O None of these. 37 Of(z) = √2z f(2)=

A: We will find the derivative.

Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

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Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

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Q: Q5: * Q5: The Derivative of sinh (tan x) ? O tan(x) O sin(x) O cos(x) /sec(x)/

A: Secx is the right answer.

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa +…

A: This question is based on chain rule differentiation.

Q: Find the derivative of the function at Po in the direction of A. f(x.y) = 5xy + 5y", Po(-6,6), A =…

A: Given  f(x,y) = 5xy+5y2  P0(-6,6) , A= 2i-j  .  To find  Directional derivative in the direction of…

Q: Find the derivative of x2y? + x³ + y = 8 at (2,0). %3D Find the derivative of y = cot-2 (x).

A: 1) The given function is x2y2 + x3 + y = 8 and the point is (2, 0). Evaluate the derivative of the…

Q: 1. • Let a be an unknown constant and 1 f(x) = VT + +a. Find the derivative of f(r) with respect to…

A:

Q: Q5: The Derivative of sinh (tan x) ? O tan(x) O sin(x) O cos(x) O Isec(x)/

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: The given function: y=f(x)=cot(x) The given values, x=π2 and h=π4 To find the first derivative of…

Q: Зх + 7 Calculate the derivative of f(x) at x = 0. Give an exact answer in decimal form. 4х — 5 f'(0)…

A: *The given function f(x) is, f(x)=3x+74x-5 Apply quotient rule on the above function to get the…

Q: suppose u and v are differentiable functions of x. Use the given values o fthe functions and their…

A: Consider the given information: u2=6u'2=2v2=-3v'2=-4 Consider the given derivative. ddxuvx=2

Q: Find the derivative of f (w) = 9In (w) + 18. Enclose arguments of functions, numerators, and…

A: Given function, fw=9 lnw+18

Q: d²u If u3 = a²t, find dt?

A: Given,             u3=a2t

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

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,у) - 4хy + 3у?, Po(-1,1), А-D6і…

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Q: 2. Using the definition of derivative, prove the following: 1 (a) f (x) =: if f(x) = V (b) y= sec x…

A: Topic- Differentiation

Q: Use lagarithmic differentiation to find the derivative of « with respect bo the given independent…

A: We are authorized to answer three subparts at a time, since you have not mentioned which subpart you…

Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: 2. (x² – y²)³ = 3a*x? %3D

A: The given equation is x2-y23=3a4x2 We have to find the derivative of y with respect to x. In this…

Q: Find the derivatives of the following functions (use methods taught in th possible. (*), ue X = q…

A: we have to derivative

Q: 8. Find the derivative of the following functions with respect to x by using either the product or…

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Q: f (x) = -1 -1+ x + 4x² cos (:) når x # 0 når x = 0.

A: Consider the given function:

Q: y=x(tan^-1)(2x)-(1/4)ln(1+4x^2) find derivative of the function: full steps please

A: The given function is

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: Q3) Find the derivative of y for all functions the following (1) y 0 (sin (In 0) + cos (In 0)) %3D

A: Q3) (1) Differentiate with respect to Use chain rule to find the derivative of y

Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy-y², Po(-3,4), A=i+2j…

A:

Q: Q4: Find the derivative of the function at Po in the direction of A 4) g(x, y, :) = 3e" cos(y:).…

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Q: 4. Find the second-order derivative of the following function: f(z) = log, cos z + In %3D

A:

Q: Which of these is the derivative of y = sinh x ? - sech x tanh x - cosh x csch x sech x -csch x…

A: To select the option for the derivative of,  y = sinh x

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

A:

Q: Find the derivatives of the following functions (use derivate definition): iii) Vr + Va iv) senm x…

A: Given  iii) x+xiv) sinmxcosnx

Q: I. Find the derivative of y with respect to x. using inrement method x +7 1. у%3х? -3х -5 2. y = Зх…

A:

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: Given:

Q: Consider the derivative function g (x) = 3 cos (4x – 1). %3| What is the general antiderivative of…

A:

Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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Q: Find the derivative y' = f'(x) of the given function y = f(x). %3D Graph y = f(x) and y' = f'(x)…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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…

Q: Q5: The Derivative of sinh- (tan x) ? O tan(x) O sin(x) O cos(x) /sec(x)/

A: 5) The given function is sinh-1tan x.