Use the product rule to find the derivative. y = (4x2 + 5)(3x - 5) y'= %3D

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

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

Q: 11. y=3x+ ln x %3D

A: Topic - derivatives

Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

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Q: 45. y = cos vsin(tan x)

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Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x³ - 5y) |

A: topic - implicit differentiation

Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: Find the derivative y by implicit differentiation 4xy2=5x+8

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Q: Find the 3rd derivative of the function y=excosx.

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Q: Find the derivative of the function

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Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

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

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Q: How did he get the derivative? Ux =d (uxN, 2)) dx then

A: I have stated the used formula in the solution

Q: Find the derivatives of the functions y = ln (sec2 θ)

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Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: Find the derivative of the function y = 4x sin '(x) + 4/1 – x². y'

A: Here we have to find the derivative of the given function.

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

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

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Q: Find the derivative of y = 3x2 sin x.

A: Given: y=3x2sinx for finding derivative of given expression we will use product rule given below…

Q: cosx y =-

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Q: Find the derivative of y = sin(-* e-X 2ex + 1

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Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Find the derivative of the function. y = x/2 − sin 2x/4

A: Given function is y=x2-sin2x4 We have to find derivative of given function. Differentiating the…

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: find the derivative of y with respect to the appropriate variable.23. y = (x2 + 1)sech (ln x)

A: Definition used -             ddxsech(x) = -tanhxsechx          Product rule of derivative -…

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

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

A: Given: y=ecosh3x

Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = x4/cos x

A: Given function: y=x4cosx Recall Product Rule ddxmn=mddxn+nddxm…

Q: Find derivative of y=cos(7x).

A: The given function is

Q: Find the derivative. y=cos(ln 4x^6)

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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: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Calculate the derivative of the function y=(x−1)(x−2)2 without using the product rule for the…

A: Consider the given function y = (x−1)(x−2)2. Simplify the given expression as follows.…

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

A: Topic  =Derivative

Q: Find the derivative of the function. y = sin2(x2 + 2) y' = %3D

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

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Q: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: find the derivative of y=sin2(3x).

A:

Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: Find the derivative of the function. y = 5x 9. 3 - 13x - ヤ dx

A: y=5x3-13x-9x7

Q: Find the derivative of y with respect to x. y=ln(tan-1(4x5))

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

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Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.