Differentiate and simplify using factoring and trigonometric identities y = log( cose csc®) y = In³ (2te-')

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the…

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: 3- Using implicit differentiation to find if ysin) = xy

A:

Q: e) Find the derivative: In sin 5x. 3) Find the derivative: = In- (3х-4)2

A: For this problem, we need to use inner derivation formula.

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: So the slope of the tangent is 4

Q: Follow the steps to find the equation of the tangent line to y-(1+6x) at x 1. This problem has two…

A: Given y=1+6x4x To find the equation of the tangent line at x=1

Q: cosx 6. Use logarithmic differentiation to find if y=(cos?x). Write the final answer as a function…

A: We have to find the derivative of the given function in terms of only x.

Q: Use Logarithmic Differentiation (as shown in lecture) to find the derivative of y = (4 + sin x)√T…

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Q: give 2 basic derivatives examples of difference rule with solution Avoid using: cosx, sinx, tanx,…

A: Difference rule: ddxf-g=dfdx-dgdx

Q: 6. y = 2 log, (e")

A: Solution ) y = 2 loga(ex) Suppose ex = m Chain rule of differentiation  dy/dx = (dy / dm)×(dm/dx) […

Q: cscax sin(xth Sind dx

A: Here given as As we know

Q: Determine which inverse trigonometric function g has the derivative / 1 g (x) = x2 + I

A: Which inverse trigonometric function has derivative 1x2+1.

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.

Q: Use logarithmic differentiation to find the y = x3x %3D y'(x) = %3D Submit Answer

A:

Q: Use a trigonometric identity to show that the derivatives of the inverse cotangent and inverse…

A: To show: The derivatives of the inverse cotangent and inverse cosecant differ from the derivatives…

Q: If log4(sinx)=A and log4(cosx)=B, what is the expression for log4[sin(2x)] in terms of A and B.

A:

Q: tanºx sec*x dx. Use trigonometric groups..

A: Given:        ∫0π4  tan5x sec4x dx

Q: x-1 y = log, x+1

A: We know, ddxlog(x)=1x ddxu(x)v(x)=v(x)u'(x)-u(x)v'(x)v(x)2 log(ab)=log(a)-log(b) log(a)n=n*log(a)

Q: Use the identity cot tan lu to derive the formula for the derivative of cot -lu from the formula for…

A:

Q: 1. Think of a situation that involves differentiation of either logarithmic function, inverse…

A: The height of the plane that takes off from the airport is given by the equation  where height is…

Q: 19. 0 = Arccos/1 – x

A:

Q: 4. y = sec* x – tan* x

A: As per guideline we have to solve one question To find the derivative of y=sec4x-tan4x We know that…

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Equation of tangent line in slope and point (x1, y1) form is given by

Q: y? Arc sec Vy g(y) In(cos y)

A: Given function is gy=y2sec-1ylncosy. To find the derivative of the given function. Solution: Taking…

Q: Sin (Lnx) elX

A:

Q: People who believe in biorhythms claim there are three cycles that rule our behavior - the physical,…

A: The function of our emotional fluctuation is E=sinπ10t

Q: d 14.- - (logx) dx

A:

Q: In|tan 0| = In|sin 0| – In|cos 0| -

A: Use properties of logarithm and trigonometric identities tos solve this problem.

Q: Use logarithmic differentiation to find the derivative of the function. y (cos(3x)) X y [D] Note:…

A: Given function is y={cos(3x)}x

Q: ind the second derivative and simplify the final result 6. ln(x^3 y^2) = x^2 + y^

A: To find the second derivative of the below equation. lnx3y2=x2+y3

Q: 3- 4ー トy In Sin &CoSG o Cos e / +2 In0

A: In the above question we have to find the value of the function with logarithmic differentiation.…

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: It is given that equation of the graph is y=x3 ln x4 and  a point P-1, 0. (a) Find the slope of the…

Q: Sin(2x)-TT find derivative

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

Q: (Integral symbol) sin(10x) sin(3x) dx

A: Given integration is : I=∫sin10xsin3xdx Use the formula of trigonometry ratio…

Q: Trig Time! 200 300 500 800 -200 sin(7x) + 300 300 cos(27x) + 200 -500 cos(z) + 800 800 sin(27x) +…

A: Given

Q: tan GA lX

A:

Q: Use logarithmic differentiation: 4x+7 y = х-5

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Q: sin 6X dX sin 4X

A:

Q: Use logarithmic differentiation to find derivative of

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Q: 19. 0 = Arccos 1 – x

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Q: Find an equation of the tangent line to the curve y = 9sin (6z) at the point (0, 1) Note: Write the…

A: Please see the below picture for detailed solution.

Q: x² – 1 dx

A: Given: ∫x2-1x4dx To find: Use trigonometric substitution to integrate above function.

Q: Use logarithmic differentiation to find the derivative of the function. y = x2 cos(x) y' =

A: The function is given as ,  y = x2 cos(x) find y' using logarithmic differentiation

Q: What is the difference between sinx and sinhx Write with example of integration and differentiation.

A: Given:     we have to write difference sinx and sinhx

Q: Find using logarithmic differentiation y = x²+1

A: Logarithmic differentiation:    Taking the derivatives of some complicated functions can be…

Q: Write sin 45° cos15° - cos 45° sin 15° as a single logarithmic function.

A: Part 2. Given,            sin 45°cos15°-cos45°sin15°

Q: tan@a coso Seco-sinO =

A: Given,          secθ-sinθ=tan2θ+cos2θ secθ+sinθ

Q: Find the indefinite integral and check the result by differentiation.

A: To evaluate the indefinite integral.

Q: Verify the derivative of nature logarithm (use the formula of In). d u' -[In\u] = dx и Verify the…

A: Given a formula,

Q: Find derivative: y = cot¬'( )+ tan-1 x³. [Simplify answer

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Q: x* y = sin x

A: