Calculate the derivative by expanding or simplifying the function. 1 – 2(19t) s(t) = (19t)1/2 (Use symbolic notation and fractions where needed.) ds dt

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Compute the derivative of the given function. f(t) = e6t-²–2 f'(t) = help (formulas)

A: Given, ft = e6t-t2-2  We have to find the derivative of function f't.

Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: 2. Find the derivative of the following functions. (a). g(x) = cos (2x + 1) (b)," f(x) = In (x² – 4)…

A: To find the derivative of the functions

Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Find the derivative of the following. g(x) (e2t + VE - t) dt g'(x)

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Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: H.W.1: Determine the fourth derivative of V(x) =x3-x2+x-1

A: Topic = Derivative As per guidelines, At  a time only one question can be answered out of different…

Q: 17. a. s = ln(4x) Inz I b. 1 IN C. IN d. 1 4x

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Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: 4. Find the derivative of the following by applying the chain Rule and simplify. a. f(x)=| x+3 b.…

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Q: Calculate the Implicit Second Derivative for the function shown  1) b(z)=(z-5)^2 2) Find the value…

A: The function is given by bz = z-52 To evaluate: 1) The second derivative b''z          2) The value…

Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: Find of the function given implicitly and evaluate the derivative at the given point. y = sin ( 8x+…

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Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (ans.: (3x-2) a)…

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Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

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Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

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Q: Find the function with derivative f'(x) = e8 that passes through the point P= (0,7/8).

A: We are given a diierentrial equatrion[f'(x)=e8x ] and a pssing point (0, 7/8) of the same  we need…

Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: Calculate the derivative by expanding or simplifying the function. 1- 2(19t) s(t) (19t)l/2 (Use…

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Q: Evaluate the derivative of e22.1.png acos(b/x) f(x) = x2 if a = 73 and b = 0.7 at x = 5 using FDA…

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Q: Attempt Calculate the derivative by expanding or simplifying the function. 1 – 2(13t) s(t) =…

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Q: Evaluate the derivative of the following function. ƒ1t2= ln 1sin-1 t22

A: Here given Function as ft=lnsin-1t2

Q: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

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Q: 3 (a) Find the derivative of the function y = (t3 + 1)10 dt

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Q: Find the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

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Q: Determine the value of the derivative of the function stated below, at x = 1. d "2х-1 4 dx \ x+2

A: The given function is: f(x)=2x-1x+24

Q: 4. Find the second derivative of each of the following and determine based on your results if the…

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Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: 3et +et Find the derivative of g(t) = Do NOT simplify. t2 +1

A: To find the derivative of the given function

Q: Find the derivative of the given function.   f(z)=−1/z^4.1

A: Recall the rule for differentiating powers when the exponent is a positive integer

Q: d х2-1. dx x2+1 x = -2 %D

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Q: Find the derivative of the function. 1 s(t) 2+ 6t - 5 s'(t) =

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Q: 1)™ Determine a formula for the derivative of (x° + that works for any integer m. m y'

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Q: Using the definition of a derivative, find t'(3) given t(1) =2 -9z-1 %3D

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Q: 3. Determine the derivative of each of the following. a) y = e-*sinx b) y = 2* + 3* c) f(x) = xcos2x…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 1. Find the derivative of f(x) = e" (x² – 1)ª. Make any obvious simplifications.

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Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: Q1. Find The derivative of the following functions a) G(2) = ² -dt c² +3 tan b). H(x) = [1² (² + 1…

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Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

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Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

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Q: Q/2: Find the derivative of the following: (a) y = (x²ln x)* (b) y = In 1-x

A: According to power rule of differentiation . According to product rule of differentiation .

Q: Find the derivative of the following:  R = (q^2 + 1)^4 y = ln(5t + 1)

A: We have to find derivative of given different functions ,Given different functions are