Find the derivative of each function. f (z) = -4r+ 7z3 +z f' (z) =

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 derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the derivative of the function. f(x) = ln 3x

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Q: Find the derivative of the function.

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Q: z (y/)° = y

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Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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

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

Q: 1 , (x >0) 1+x

A: We need to evaluate the derivative of the following function f(x) = 1-xx1+xx

Q: Find the derivative of the function. y%3=

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

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

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

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

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=x2sinx.

A: Given: y=x2 sin x To determine: Derivative of the given function.

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

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

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

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Use the first principles of derivatives to find the derivative of y=5x-1

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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: Find the First Derivative of the Given Function: 2.) x=sec53t

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Q: Calculate the derivative of the function y=2√x+33√x.

A: Given function is y=2x+33x Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of the function. y = 2eVx

A: The chain rule for differentiation is given by ddxfgx=f'gx.ddxgx.

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

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Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

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 the function. 8 +- +/5 y= 4. dx %3D

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Q: Find the derivative of the function. y = 3 tan-(x - V1+ x?

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Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Find the 3" derivative of the function y=f(x) given by the equation y' = 2x.

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. f(x) = ex - xe

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Q: Find the second derivative of the function given by the equation x+y=ex−y.

A: Using implicit differentiation and the chain rule we find y'

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

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

A: we havey=x sin-1(x)

Q: Find the derivative of h(x) = sin2x

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

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

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

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

Q: Find

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Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

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Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: calculate the derivative with respect to x. 3y3 + x2 = 5

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Q: Find the second derivative of g(x) = secx.

A: Given : gx = sec2x

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y