Determine and simplify the first derivatives of the following functions.   Exponents in the final answer should be positive.

Q: Expand or simplify the function, and then calculate the derivative.                  P(s) = (4s -…

A: The function is given as Ps=4s-32 Differentiate the above function w.r.t 's' P's=dds4s-32 The…

Q: following

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Q: Find the derivatives of the following function.

A: Find the derivatives of the following function.

Q: Find the derivative of each function of s = 3t

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Q: y = V7x – 8

A: Given: y=7x-8 To find:  dy/dx=??

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: Calculate the derivative of the following functions

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Q: 1. Find the derivative of each function. i] f(x) = e*=*

A: Here f(x)=ex2-πxddxf(x)=ddxex2-πx=ex2-πx ddxx2-πx=ex2-πx 2x-πHence, ddxex2-πx=ex2-πx 2x-π

Q: Work out the derivative of each of the functions below> a. f(x) = 3 ( x - 5)4 + 121. %3D

A: Hi there, at a time we can answer only one question and the exact one was not specified. So, I have…

Q: Find the derivatives of the functions tan, cotan, sec, and cosec.

A: We know that (sin x)' = cos x(cos x)' = -sin x We will use the formulas uv' = vu'-uv'v2 Consider tan…

Q: y= 6*

A: y'=?

Q: Find the derivative of the following function. У - (4xª + 7) 5

A: We will write the given equation using a negative exponent first.

Q: y = 5 tan-1(10x® + 5x°) [log.(x10 + 3x7)]

A: Topic = Derivative

Q: Solve for the derivative of the following function: v=1/t^3

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Q: Find the first and second-order derivatives of the following function: T = 28

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Q: Find the derivative of the given function.     y=x^(11/5)

A: (d/dx)(x^n)=nx^(n-1)

Q: h(x) = e= a + 4 – x2

A:

Q: Calculate the derivative of the following functions. #51

A: To evaluate the Derivativey=2ex+3e-x3

Q: Find the derivative respect to x of each of the following functions or equations and simplify:

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Q: -412 +3 g(x) = I - 1

A: gx=-4x2+3x-1

Q: Find the derivatives of the following functions.

A: We have,  y= x3arcCosx3Apply chain rule , y =uv = dudxv +dvdxudydx = d(x3)dxarcCosx3 +darcCosx3dx…

Q: Find the derivative of each of the following functions:-- log₂ x 2. y= X

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Q: Find and simplify the derivative of the following function. f(x) = x+ 15

A: f(x) = x / ( x + 15)  We need to find and simplify the derivative of above given function.

Q: Find the derivatives of the following function log(cot(1-x2))

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Q: Calculate the derivatives of the following functions:

A: Product Rule: ddx(f(x)g(x))=g(x)ddx(f(x))+f(x)ddx(g(x)) Chain Rule: ddx(f(g(x)))=ddu(f(u))ddx(g(x))…

Q: Find the derivatives of (0 – 1)(0² + 0 + 1) 1.

A: r=θ-1θ2+θ+1θ3

Q: Calculate the derivative of the following function. y = 11x- 12

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Q: each

A: We have to find the derivative of the given function using the rule of derivative

Q: Q(x) = Jx + Vx + Vx + ·…

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Q: Find the derivative of each of the following functions. (a) f(x)= (a² – Va) - e

A: Given: fx=x2-xex

Q: Obtain the derivative of the following function, explain each step, and indicate each formula you…

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Q: 10. * -1 x CSc

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Q: Find the derivative of the following function. y = 3.7* y' = ]

A: As per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: Find the derivatives of the functions p = √3 - t

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Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: y = 2 x + 2 -3+x

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Q: Find the first and second derivatives of the functions r =(θ - 1)(θ2 + θ + 1)/θ3

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Q: Calculate the derivative of the following functions

A: The given function is y=e2t1+e2t

Q: Find the derivative of each of the following functions

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Q: Calculate the derivative of the following functions

A: y=1-e-0.05x-1

Q: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

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Q: 3. Find the following derivatives:

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Q: c) y = (4x² – 9)(V4x² + 9) csc(x*) d) y = e6x e) y = [sec(2x5 + e15×)][In(4x5)]

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Q: 5. Find the derivative of each of the following functions. Simplify where possible.

A: The given function is: g(x)=3x2-12(2x+1)4

Q: Determine the first derivative for each of the following functions. Remember to simplify. 2x-3x a)…

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Q: Find the derivatives of the following.

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Q: Find the derivative of each function. (b) g(x) = |x| +1/√x

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Q: 4. y = x0sx

A: Take the logarithm then take derivative twice.

Q: Calculate the derivative of the following functions

A: we have to find the derivative of the following function   g(x)=xe3x=xe-3x derivative of…