Find f’ (x), i.e. the first derivative of all of the following 10 functions below: f (x) = 5x + 4 f (x) = x2 + 3x + 6 f (x) = (x + 4) (2x – 1)

Q: y = In (x* + 5)³

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Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

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Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

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Q: 17) Find the first derivative of f(x) = (cos4x)6 6 or f(x) = cos 4x

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Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Determine the second derivative of f (x)= x 'e* at x = -2 with a step-size of h=0.50 using Central…

A: We have to find the second derivative of the following function at x=-2 with step size h=0.5 using…

Q: Find the derivative of Ox²2cosx + 2xsin x O 2xcos x O x² sin x + 2xcos x O x2cosx y=x²sinx

A: We know that if f(x)=g(x)h(x) then  f'(x)=g'(x)h(x)+g(x)h'(x)

Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Find the derivative of the function f(x) = tanh(4x2 + 3x)

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Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: 1 Find the first derivative given that f(x) = xdx +

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Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: What is the first derivative of q(x)= ln((7x^2+3x+7)/((x^5/6)(tan(x)))

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Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

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Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: Find the derivative ofƒ(x) = 1/x5in two different ways:using the Power Rule and using theQuotient…

A: given: f(x)=1x5 the differentiation of the function f(x)=1x5 by using the power rule is: the…

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: derivative of f(x)= 3sin2x

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Q: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: Find the derivative of y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Find the first derivative of: sin(x+y)+cos(x-y)=3

A: Given,           sinx+y+cosx+y=3 The objective is to find the first derivative.

Q: a the derivative of h(x) = ln + 2 x5 et |

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Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivative of f(x) = –4 ln (5 cos (-4x))

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Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

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Q: 4 Find the first derivative of y = In X +

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

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Q: The first derivative of the function y = 3x cannot be solved using implicit differentiation. Select…

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Q: Find the derivative of y = csc(V3x² +1

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Q: y = Vx* X

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Compute the derivative ln(ex+1) / 2x+1

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Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

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Q: Find the derivative of (ex + e-x )/(ex - e-x )

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Q: is the derivative of In

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Q: Find a function with the given derivative whose graph passes through point P f'(x)=1/x+2, x is…

A: The derivative is given as

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

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Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

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Q: Find the derivative of y = arccos x + x 1-x²

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