Find the first derivatine f'and the origina function f. f"Cx)=ces(x),f'()=7, f()=3 (use needed) Symbolic notation and fractions uhere

Q: Using integration by parts to solve f S and letting u =-, x2, then v = f(x) is %3D

A: Integration by parts is used to integrate an expression that is a product of 2 functions. The…

Q: f" (x) = cos(x), f(0) = -2, f' (0) = -2, f" (0) = 6.

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Q: Determine the local extrema of the function f(x)=sinx−cosx on [0,2π].

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Q: x´ tanh x f (x)= tan -1 (x)%3Dtan 2 sin x+ coS X

A: This is a problem of Differential Calculus.

Q: Find the absolute extrema of the function on the closed interval. y = 5ex sin x, [0, π]

A: Solution:-Given functiony=5exsin x in [0,π]∴f(x)=5exsin xf'(x)=ddx5exsin x∴f'(x)=5ex cos x+5ex sin…

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Q: Find all points (if any) of horizontal and vertical tangency to the curve on the given interval

A: Given Data The first equation is x=cos θ+ θ sin θ. The second equation is y=sin θ- θ cos θ.…

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Q: 1 e function f (x) = ,x E [-27, 2nt| is continuous on: 1-cos x

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Q: 2 tanh(x) 2) tanh(2x) (H.W) 1+ tanh (x) 2

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Q: entiate g(x)=In(tanhx) in its simplest fo (x)= In(tanhx)sech°x In(tanhx)sech'x tanhx sech'x (x)%D…

A: We have to choose the correct answer from the given option according to the given condition

Q: 9) Find all relative extrema in the interval (0, 2π) for y = x - cos x

A: Here we have to find the relative extrema.

Q: Find the absolute extremum point(s) of f(x) = e' -Cos x on [-골, T), E any.

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Q: 5. Find all the first and second order derivatives of the function f(x, y) = x³ ln(y) + ³xy + x²y³ +…

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Q: tan x + i tanh y 1- i tan x tanh y 18. tan z = tan(x + iy)

A: We have to prove

Q: The coefficient of sin'x in the antiderivative of F(x) = cs (use fraction form not decimal

A: This question can be solved using the concept of integration of trigonometric function.

Q: 3. Consider the function f (x) = sin² x + sin x on the interval (0,2n). a) Find the open interval on…

A: The given function is fx=sin2x+sinx on the interval 0,2π. a) Obtain the first derivative of the…

Q: Test for homogeneity  f(x,y)=tanx-sec2x-cosy

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Q: 5. Evaluate f* cos xdx ´using integration by parts.

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Q: ..LH.S.-R.H.S. - HW/ Prove that: (1) 1-tanh x=sech'x

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Q: f(x)=\arctan (1-x),[0,1]

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Q: H.W LEC 8 H W dx 1+x-(Tan (x) )2 H-W It g* H.W (3) x In X Tnx)21 tan de HW H.W Smh Ode

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Q: 4 Test for homogeneity fx,y)- tanx- see'x - Osy

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Q: Find minimum of sin(x + 3) – sin(x + 1) – 2 cos(x + 2) where a E R.

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Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

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Q: Limit -1 to 1 integral (1-1/2 x) dx

A: Given:        ∫-111 - 12x dx   To find the value of ∫-111 - 12x dx   Formula:          ∫xn dx = xn…

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A: Here x represents the depth of water. fx=xtanhx2−1 If a function f(x) takes opposite signs at two…

Q: Find antiderivative of f(x) = cosx

A: We have to find antiderivative (Integral) of  f(x) = cosx  i.e ∫ cosx dx

Q: Che number ofunits in Z31[x] is

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Q: 10 If f (x) dx -7 and f (x) dx = 1 then determine -3 -3 10 [1- f(2) dz 5 showing working.

A: Given: ∫-35f(x)dx=-7 and ∫-310f(x)dx=1

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Q: CNIVERSI Find if f(x,y) = y sin xy 3.

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

Q: Area under the curve y = 4 - x2  from x=-3 to x=3

A: Please see the answer bellow.

Q: Mic differentiation to Find der :Vative Of Y «in(x+7) x+7)* (In(x+7) + X. X-1 H7)* (x+7) t x+7

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Q: 5. Interval 0 <x<n, function, f(x) = cos x.

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

A: Consider the given function as y=xlnx

Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: tanx If f (x) = A (В) (ⒸC) D - St 0 sec 3x 1+ e tanx In (secx) √ 1+tan ²x 1+ e tanx sec²x 1+elanx…

A: Finding the derivative of the integral

Q: 1+iz : If w = Find the im age of z|<1. 1-iz

A: Let the transformation be f(z)=w, in which x-y plane is converted into u-v plane.  Where z=x+iy and…

Q: 1. Find f(x, y) obeying = - sin(x)y and f(0, y) = }(y +2)². %3D %3D

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

Q: f(x) = tanh(6x) then f'(x) =

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Q: // dydx O Lan- Lan y sin x .5 kan (x/ 2) ** t e tan (x/2) sin x 0.5 1 sin x .5 tan (x/2) ** y 2 tan…

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Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: Of of Let f(x, y) = x°y² tan y Then x +y. equals

A: The derivative of a function of two or more variables with respect to one variable, while the others…

Q: f(x) = tan (2x5 – x) %3D f'(x) = 9хcosx f(x) = %3D csc(x) f'(x) = %3D f(x) = ex f'(x) = %3D e5x+3 y…

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Q: using the product rule, how do I find the derrivative of  h(x)=cosxsinx

A: According to the question, we have to find the derivative of the function hx=cosxsinx. The…

Q: In (tan (x)) dx. 3. Evaluate J sin(x) cos(x)

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) substitute  take…

Q: Evaluate using Integration by Parts. cos(13x) dx (Express numbers in exact form. Use symbolic…

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