Given a tasked to solve for (x) = tan e Vx , Allan said she would apply the derivative of the ev *sec² eVz trigonometric identities first then chain rule and arrived with an answerf'(x) %3D Would you agree with him? Why or why not?

Q: Find and simplify the second derivative of f(0) = cos(sin(30))

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Q: cosh(3x²y) = ln(e*y + 1)

A: Differentiate the cosh3x2y=lnexy+1 with respect to x. dcosh3x2ydx=dln(exy+1)dx Use the chain rule…

Q: I understand that the derivative of cosx is -sinx, but I need to show the work using trig…

A: We have to find the derivative of cos(x) by using definition of derivative by limit.

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

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Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: ex = cosy

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (2…

A: Given function is   Differentiating both sides with respect to x, we get

Q: Find the derivative of y=(e^2x)sin5x   (Not sure what to do with the (e^2x))

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Q: f(x) = e2 sin¯+(3x) + In (cosh-1(e³x))

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Q: 4 1日4)+e dy=

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Q: b. y = cosh(arctan 3x)

A: Given: y=coshtan-13x We know that ddxcoshx=sinhx                                              ..1

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

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Q: Find the second derivative of f (x) = 2 sin (3x). Enclose arguments of functions in parentheses. For…

A: Differentiate two times

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

A: we have to solve the problem

Q: 을 [ ] d dx tan-1(x)| 1+x?

A: To find derivative of arc(tanx) , we have to use some trigonometric identities and basic inverse…

Q: Find the derivative of the following. sin y = cos (2x)

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Q: Obtain the derivative formulas for csch x, sech x, and coth x from the derivative formulas for sinh…

A: Given functions are sinhx,coshx,tanhx.

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 cos (ry) = -4x° y? + 5 using implicit differentiation.

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Q: e. y = tan(ln(cot(x² + 3 ln 3x))

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Q: f (x) = cos-(sin(x² + 3х))

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Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

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Q: When a question asks to compute dy/dx using the definition of the derivative, how do I approach it?

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Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

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Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

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Q: 11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

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Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: 2. y= cos (x³ + 1)

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Q: Find the derivative. ( cos ft dt x10 COS^/

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Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: Solve for the derivative of y=ln ln [cos2(3x)] With the answer -6 tan tan (3x)  Show solution.

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Q: Find the slope of the tangent line to the sine function at the origin. y 2 y=sin -1 Compare these…

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Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: What is the correct expression of the directional derivative for o = xy ln x + sec c-'[sinh(xy)]?

A: The function is φ=xyln x+sec-1sinhxy. The directional derivative is defined as…

Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

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Q: Find the derivative of: – 7 sin (2x°). - Hint: sin? (æ) = [sin(x)]"...so ...so use the chain rule…

A: Solving by chain rule

Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

Q: Use forward difference formula to evaluate the first derivative of y = cot(x) at x = pi/2 using a…

A: Given function is y=cotx. We have to evaluate the first derivative of y=cotx at x=π2 using a vale of…

Q: What is the derivative of y tan-1 cos 4x ?

A: By see this solution below

Q: 35. y = cot? (sin 0)

A: Solution:-

Q: 3. It is given that sin(x) + cos(x) tan(y) = 1. Use implicit differentiation to find

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Q: Find the derivative of ?(?) = −7 cos(4?). using the chain rule

A: We have to find the derivative of given function using chain rule in differentiation.

Q: y = k2 (Arc sin) – xvk2 – x² where k is a constant.

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Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)

Q: How would you find the 54th derivative of sin(x)? What is the pattern that occurs to allow you to…

A: Consider the function