For cos^2(xy)=1/4, evaluate y’ when x=1

Q: For which values of x are y = sinh x and y = cosh x increasing anddecreasing?

A: Hence, sinh x is increasing for all x.

Q: Find the derivative of y = 6e x – cosx.

A: Given function, y=6ex-cosx Used formulas, ddxcfx=cddxfx  c=constantddxex=exddxcosx=-sinx

Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: Find the second derivative of y=(tan(2pix))^3

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Q: Find Dxy for y = sinh-'(x5)

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Q: Find the 50th derivative of y = cos 2x

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Q: Find  dy dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: tan−1(4x2y) = x + 5xy2 We differentiate both sides with respect to x using the product rule and…

Q: what is the derivative of y=ex /(x2 + 15) Please show steps

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Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

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Q: Show that the derivative of the function sinh -¹ x can also be obtained by letting y = sinh -¹ x and…

A: Soln:To find the derivative of sinh-1x

Q: 13. f(x) = e* In x

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Q: What is the derivative of y = sin(3x²) cos(3x²)

A: We have to find the derivative of given function.

Q: What is the derivative of: y = arcsin(cos x2)

A: Our Aim is to calculate the derivative of y=sin-1cos x2-(i)

Q: Find the first four derivative  if  y= cosx

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Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: Find the derivatives of the functions in Exercis

A: Chain Rule: f(g(x))'=f'(g(x))g'(x) Differentiation formulae: ddxsinx=cosxddxcosx=-sinxddxax=a

Q: Find the derivative y = cosh(2x)

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Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the…

Q: What is the derivative of * y = arctan(x2 + 1)?

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Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

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Q: Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 5xy2

A: Given,

Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: Find ∫cosh 2x sinh2 2x dx.

A: To find the value of the integral∫cosh2xsinh22xdx

Q: Find dyydx by implicit differentiation. 1 + x = sin(xy2)

A: In implicit differentiation we differentiate the terms in LHS and RHS and then re-arrange the terms…

Q: Y=メ* Sinx+x (0) メ +X CO) メア

A: we also to derivative

Q: Find the derivative. Simplify where possible. y =e cosh 3x

A: Given: y=ecosh3x

Q: What is the derivative of: y = ln ln(1 − cos x)

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Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: The derivative of y= elanx + tan(e*)+ (tanx)® equals

A:

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Find the derivative of y = 2x cos x − 2 sin x.

A: Given function y=2xcosx-2sinx dydx=ddx2xcosx-2sinx=ddx2xcosx-ddx2sinx Recall the formula…

Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: Find the 50th derivative of y = cos(3x)

A: Zeroth derivative y = cos(3x)First derivativey' = -3sin(3x)Second derivativey''=-9cos(3x)

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

A: Find the derivatives

Q: Find the derivative of y = sinx / (1+cosx).

A: Topic  =Derivative

Q: Find dy/dx by implicit differentiation. 3x +у - 2 + х?у? У 3

A:

Q: Find all extreme values for y=x+sinx^2 over [0,π]

A: Given,  y = x + sin2x  We have to find the extreme value in the interval 0, π

Q: 9 y = Arctan(+x, 1- 2x

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Q: 7) y=cos/2x+1

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Q: Integrate: cos Gx) – sinh(2x)]g

A: As per our guidelines only one question can be answered.Please repost the next part in next…

Q: · Find dy/dx by implicit differentiation. 6. 2x? + ху — у? — 2

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Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

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

A: By see this solution below

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: if 2 tanh x.In x = sinh' (sin x)+logcos dx dy Q5/ Find

A: To differentiate the given function.

Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

A: