III. Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your university ID.

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: Use implicit differentiation to find y'. 2. e2x = sin(2x + 5y)

A: Solved below

Q: Find the derivative of the function.

A:

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

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Q: Compute the derivative. y = sin (4 / θ )

A: The chain rule of differentiation is used to find the derivative of a composite function and given…

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: find the derivative using the appropriate rule or combination of rules.

A: Consider the given function

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

A:

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. sin(x +…

A: The given equation is  sin(x+y)=x+cosy ...................................(1)  differntiate with…

Q: Find the derivative of the following. y = -1/3tan3 x - sin2(2x)/tan x - cos2(2x) cot x +4

A: Differentiation of the function can be found with the help of the differentiation formula.…

Q: find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

A: We have to find the derivative of the function: y=cos 6x+sin x212 We know the formula of…

Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

A:

Q: Find the derivative of the function. y = −6 sin 3x4

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Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

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Q: Find the derivative of the following: y=−x2⋅sinx

A:

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

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

Q: Find the first four derivative  if  y= cosx

A:

Q: Compute the derivative using derivative rules. y = cot7 (x 5)

A:

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: Find the derivative using the appropriate rule or combination of rules. y = x cos(1 − 3x)

A:

Q: Find the fourth derivative of f (z) = 2" + In (x) – 160z. %3D Enclose arguments of functions in…

A:

Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

A:

Q: Compute the derivative using derivative rules. y = (cos 6x + sinx 2)1/2

A: y=(cos 6x+sinx2)12

Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: 17. Find the first derivative for J(x)=tan0x sec0

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Q: sinx (b) у %3D V1+cosx

A:

Q: (1+x²-1) y = tan²¹ / √₁+x²

A:

Q: 2. Use the implicit differentiation to find an equation of the tangent line to the curve at the…

A: Given curve ,yesinx=xcosyNow using implicit differentiation , we…

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

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

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

A:

Q: Find the derivative. Simplify where possible. h(x)  =In(Cosh  x)

A: Given: h(x)=lncosh x To find: we have to find the derivative of h(x)

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: g(x)%3Dx sin(2*)

A:

Q: sinx In (2) co cos x

A:

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of the function. y = cos(sqrt(sin(tan(9x))))

A: Compute the derivative of the given function as follows.

Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

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

Q: Calculate the derivative of y = cos (11x"). %3D (Use symbolic notation and fractions where needed.)…

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Q: Find the derivative of the function. y = sin(tan(8x)) y' = %| II

A:

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: Compute the derivative of y= sqrt(3−x2)+sin^−1(5x).Answer: y′=

A: The formulas that we use is written on the board .

Q: b) y = cosh(2Vx+1)

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

A:

Q: Find the derivative of y with respect to x. y = 3 sin 1 (4x 4

A: The given function (y) is To find derivative of y with respect to x is

Q: y = sin(3x²) cos(3x²)

A:

Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

A: