Find the derivative of the function. h(t) = (t* – 1)*(r + 1)*

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the derivative of the function 1-x2 t2sin(t) dt g'(x) =

A: First I have written the Leibnitz rule for derivative of an integral and using them find the…

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: B) Find the third derivative of the function: Y = +VX

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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: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: Find the derivative of the function

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Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

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Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

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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: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Find the derivative of the function. 8. g(t) = t2 CO |回

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Q: Calculate the first four derivatives of y = x- 1. Then find the pattern and determine a general…

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Find the derivative Of g(t)=ln(e^-t+2t)

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the differential of the function. z = 3t - = zp

A: Differentiate the function: - Differentiation is that the quantitative relation of a small amendment…

Q: FIND THE SECOND DERIVATIVE OF THE FOLLOWING IN ITS SIMPLIFIED FORM. x = t/t-1 , y = t2/t2-1

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Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: 4 Find the derivative of the function y= f(x)= Jx(x-8). %3D

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Q: Find the derivative of the functions. a. y= e5x а. b. y= er-3 c. y= ecos x

A: NOTE : as per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Find the first and second derivatives of the functions w = ez(z - 1)(z2 + 1)

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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: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: Find the derivative of the function g(t) = (e−t + et)3

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Q: Find the derivative of the function.

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Q: Q1:- Find the first order derivative of each of Inx a) y = e*secx + CsCx

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Q: Find the differential of the function. u = 2x +

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

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Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: derivative of the function. h(t)= (t+1)^2/3 (2t^2-1)^3

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Q: Solve for the derivative of the given functions using the Chain Rule formula. Let f(x) = √(x2 + 3x +…

A: (a) fx=x2+3x+1 Inner function : u=x2+3x+1. Outer function : y=u.

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find the derivative of f (a) = e" (x² + 2).

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Q: Find the derivative of the function. g(t) = ln t/t2

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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: y= 4x2-2x - 3

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Q: Find the derivative of the function. g(t) = 1/(√t2 − 2)

A: The given function is ,gt=1t2-2. To find the derivative of the given function. Solution: The…

Q: Find the derivative of the following function. f(z) = (4z+ e -)*

A: As we know that ddxex=ex [ common derivative]ddxe-z2 =-2e-z2 .z

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: Find the derivative of the function. g(t) = t2 ln(e2t + 9)

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Q: a) Find the derivative of the function: T+ V3x f (x): 3x-1

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

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Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: f(x) = e²x cos(x) e2

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Q: Q1) Compute the derivative of the function f (t)= | sin² x²dx. -t

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Q: e2x %3D e2a + 1

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