Find the derivative of y with respect to x. 58)y tan (In 2x)

Q: 3. Find the derivative of g(r) = Do Not Simplify. +1

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Q: Estimate the derivative at the given x-value by using a calculator. f(x) = sin? (=) at x = 1.8.…

A: We have to find the derivative at the given point

Q: (1) Using the definition of derivative, find the derivative of th following functions: (a) y = xvx²…

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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: Find the derivative of f (y) = 8 tan (y) 4 Enclose arguments of functions, numerators, and…

A: Given,

Q: Find the derivative of the function ?

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Q: find the derivative of y with respect to the appropriatevariable. y = tan-1√(x2 - 1) + csc-1 x, x…

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Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: Find the derivative of the given function: 1. y = -cot (2x) + cot(2x) + 2x %3D 3

A: Find the derivative of the function y=-13cot32x+cot2x+2x.

Q: g (x) sin? x + cos?

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Q: Q4 / Find the value of derivative below * If y = x/1 - x² + Cos-1(x) then y'at | x = is

A: Given,y=x1-x2+cos-1(x) dydx=dx1-x2+cos-1(x)dx=dx1-x2dx+d(cos-1(x))dx

Q: 100 The derivative of the function 1 is equal to ecos z

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Q: Find the derivative of the function  y=(cot x -csc x)-1   dy/dx=

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Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: In Exercises , find the derivative of y with respect to the appropriate variable.13. y = 6 sinh x/3…

A: We have to find the derivatives of the functions which are in the hyperbolic function form. We need…

Q: calculate the derivative below using the definition of derivative. f(x)=e^[cos(x)]  a = pi/2

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Q: Find the derivative of y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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Q: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: Y= lo5

A: FIrst convert base e then differentiate

Q: What is the derivative of sin? x f(x) = with respect to x? COs x

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Q: find the derivative of the given function h(θ)=sin (cos( θ ))

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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: (b) Find a general expression for dy - (x), the (implicit) derivative of y with respect to x, as a…

A: given rθ=2+2cos2θ   for θ∈[0,2π) (b) find a general expression for dydx let  x=rcosθy=rsinθ…

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

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

A: Let us begin with plotting the graph for |cos x|.

Q: Consider the following. x2 f(x) = x + 2 Find the derivative of the function. f'(x) Find the slope m…

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Q: 7T Find the derivative of f(x) = 2 cos (x) +9 sin (x) at the point z = Provide your answer below:

A: Given that        f(x) = 2 cos(x)+ 9sin(x) Here we have to find the derivative of f(x) at the point…

Q: find the derivative of y with respect to the appropriatevariable. y = ln (tan-1 x)

A: The given function is y=lntan-1x

Q: 1) tan x Find the derivative of y= = e

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Q: Y=67€ tanhlt

A: To differentiate the expression, y=6t tanht use the product rule, ddxf(x)g(x)=f'(x)g(x)+f(x)g'(x).…

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

A: Firstly, we set cscx+cotx=u, then y=u^-1 and then we find derivatives  dy/du and du/dx

Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: Find the derivative of y=cosine-1(7/x) with respect to x.

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Q: .0 The derivative of x" at x = e is equal to :Select one a. False b. True

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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Q: y = e* arctan x y = arccsc (e*) ICCSC

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Q: Find the derivative of y with respect to t.  y=cos^-1 (square root 7) t

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Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y = xvx²…

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Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Find the derivatives of the following functions with respect to x  x=tan (e-y)

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Q: Find the derivative of y= cos with respect to x. -1 The derivative of y= cos with respect to x is 1

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Q: Can you help me step by step?

A: Given function is

Q: The derivative of the function () y = In is: tan x,

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Q: Find the derivative of y with respect to x. y= In (tan (4x*))

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Q: f(z) = In(x² + 3) Find the derivative and evaluate it at x = -4. – 4. %3D f'(– 4) = Preview Find a…

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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.

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

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

A: Given: