Find the derivative of the following functions. De not simplify your answer. y- cos'c)

Q: Find the derivative of the function. f(0) = cos(0²)

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Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Calculate the derivative of the following functions.

A: Given: y=sinsinex Solution: Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: Calculate the derivative of the following functions. y = cos 5t

A: Given ,          y=cos 5t

Q: Find the derivative of the following function. y= sin x + cos x / ex

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Q: Calculate the derivative of the following functions.

A: Given : The function is y =sin5( cos 3x) .

Q: Calculate the derivative of the following function. y= cos (sin (9x))- dy dx

A: We know d(xn)/dx = n.xn-1 d(cos x)/dx = -sin x d(sin x)/dx = cos x d(kx)/dx = k

Q: find the derivative of y with respect to the givenindependent variable. y = xπ

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Q: Find the derivative of the function. = cos (a° + a") y = cos

A: Given,            y = cosa9 + x9

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

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

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Q: a) Find the derivative of the following function 3) y= 4sin 1+ vĩ,

A: Chain rule of differentiation: If F(x) is a composite function f(g(x)) and if F(x) is…

Q: Find the derivative of cos (x) + e x

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Q: Calculate the derivative of the following functions.

A: Differentiation of the function helps to find the derivative of the function. Differentiation rules…

Q: find the derivative of the given function h(θ)=sin (cos( θ ))

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Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (1/x)

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: find the derivative of y with respect to the givenindependent variable.

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Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: Calculate the derivative of the following functions. y = sin5(cos 3x)

A: we have to calculate the derivative of the function y=sin5cos3x.

Q: Find the derivative of y=ln(cos(z))

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Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Find the derivatives of the functions defined as follows.y = ln |sin x2|

A: Given function is y=lnsinx2

Q: Calculate the derivative of the following functions y = sin (4 cos z)

A: Consider the provided function, y=sin4cosz Find the derivative of the function.

Q: Calculate the derivative of the following functions. y = tan ex

A: Given:y=tanexDifferentiation formula:ddxtanx=sec2xddxeax=aeax

Q: What is the Derivative of the following function;  y = Arctan 2(x 3)

A: To find: The derivative of y=tan-1x32. Formula used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: Find the derivatives of the function defined as follows.

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Q: Calculate the derivative of the following function. y=cot(18x ex)

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Q: Find the derivative (dy/dx) of the following functions: a) xy = cotxy %3D

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

Q: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Calculate the derivative of the following functions. y = (cos x + 2 sin x)8

A: Given function is y=cosx+2sinx8.

Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: COS te

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Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Calculate the derivative of the following function. y=cos(9sinx)

A: y= cos x  y' =- sin x  y= sin x  y' = cos x

Q: Find the derivatives of the functions defined as . y = cos4 x

A: Given function, y = cos4 x

Q: 7. y = cos(sin(In(æ))

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Q: Calculate the derivative of the following functions. y = sin2(e3x + 1)

A: Given functions y = sin2(e3x + 1) ddxsin2e3x+1=sin2ddxe3x+1=sin2ddxe3x+ddx1=sin2e3xddx3x+0=sin2e3x·…

Q: Find the derivatives of the functions defined as follows : y = ln | tan2 x|

A: Given: The function y=lntan2x, To determine: The derivative of given function.

Q: Find the derivative of the function. simply if possible y = arccos(e2x)

A: We have to find the derivative of the function: y=cos-1e2x We know the formula of derivatives,…

Q: Find the derivative of the following function. y = e-* sin x

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Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

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Q: Y= tan ot

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Q: Calculate the derivative of the following function. y = sin (11t - 1)

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Q: Calculate the derivative of the following function. y= cos (8 sin x)

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