Find the first derivative: y = 5 arctan (3x) O y = 15 9z6-1 O y' = 45z2 %3D 1-976

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: On simplification, we get

Q: 2. For the function y = 3 sin (x + 45°) -2 state the following for 0° < x < 360°. Amplitude: Period:…

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Q: Find given the following. Do not simplify your answers. dx 207 tan-1(x2 – sinh 2) y = (cosh r) In(rª…

A: We use first derivative of the form u/v , then differential of the form (u.v).

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: C=integrating constant

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: 8 sin 0 V sec 0 (x)10 + 1 (2x+ x(x+1)(x-2) y = (x²+ + 1)(2r + 3)

A: we have to use logarithmic differentiation to find the derivative of y with respect to the given…

Q: A fence 18 feet tall runs parallel to a tall building at a distance of 6 ft from the building as…

A: To find the solution

Q: Question 4 Consider the equation ry =1. dy a) Use implicit differentiation on xy = 1 to find dr […

A: We have to find

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: We first integrate it ∫e-x+4xdx=∫e-xdx+4∫xdx=-e-x+4x22+C=-e-x+2x2+C   C=integrating constant

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: I = ∫2/5 sec θ tan θ dθI = 25∫ sec θ tan θ dθI = 25∫1cos θ.sin θcos θ dθI = 25∫sin θcos2 θ dθ…

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: 6. Find y' dy or (x) dx 11 + + sin y ху

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Q: Find the derivative of y = ln(sec=1(x)).

A: See the details solution in below

Q: 38. y = sin(t + cos 39. f(t) = tan(sec(cos t))

A: We will solve the problem

Q: 42. y=+on [1/2,2] 6

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Q: er #3 only.

A: Here we have to find the second derivative and simplify the final result.  3)…

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (If an…

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Q: 1. Find the second derivative y’’of y=cosh(lnsinx)

A: To find the second derivative y'' of y=coshlnsin x.

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Using pythagorean identity cot2x=cosec2x-1

Q: A fence 8 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: We need to find shortest ladder that will reach from the ground over the fence to the wall of the…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given:∫x+3x  dxIntegrating formula:∫xn dx=xn+1n+1+CIntegration properities:∫fx+gx dx=∫fx dx+∫gx dx∫c…

Q: 5. If cosh 2x then the positive value of 4 sinh 2r is

A: Here we will use the relationship betweencosh2x and sinh2x to find the value of sinh2x from the…

Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: by implicit differentiation. dx Find 3xeY + ye = 4

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Given:∫cscθcscθ-sinθ dθ

Q: 53 u= 8X + 3x^+Iox – Ə 2) - 2 y= Find derivative )

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: A fence 9 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: We have to find the length of shortest ladder that will reach from ground over the fence to the wall…

Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

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Q: The derivative of y = 3 cos (V1-x²) + (1-x²) ² can be written as 3 1– x² sin ( V1-x²) - (1-x² ) 7 3x…

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. y…

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Q: Consider an oscillating mass that weighs 3100 grams which is attached at the end of a spring with…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: Evaluate: ∫x2-1dx

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3…

A: Differentiation.

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: find the most general antiderivative or indefiniteintegral. You may need to try a solution and then…

A: The given function is ∫x2+2xdx Anti-derivative is equivalent to the integration of the function.…

Q: 8. Find the dy/dx by implicit differentiation. yvx + 1 = 4x

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Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 ft from the building as…

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Q: (1+x*) (b) Find the derivative of y= log, (5x')+log, (sin.x)

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Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A: Please refer the attached image for complete solution.

Q: dy Use implicit differentiation to obtain if given dx -1 e¤¬y + cosh(2x) + tan¯¹ x = π.

A: The implicit functions are represented as: f(x, y)=k, where k is a constant. The explicit functions…

Q: given below to find f( =(x) Read It

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Q: n 1-cosx dv Find dx' v = log() :), find first order derivative 1+cosx

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