Evaluate e dt 0.2

Q: Find the following derivatives. (a) y = log;(re")

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Q: find the indicated derivatives

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Q: Find the first and second derivatives of the functions in Exercises ( E q² +3 12q

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: Find the derivative of f (x) = /csc(e*+1) - 2e Ax + !csc?(e4x +1) (A csc(e4x+1) 'esc²(e4x+1) 2e tx…

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Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x c. f(x)= x²e* – 6x

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Q: Find a logistic function that satisfies the given conditions: y = 33 20 (0, 11) -20 (-2, 1) 20 40 2

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Q: Evaluate the following derivatives.

A: Let . According to second Fundamental theorem of calculus, for a function, which is continuous on […

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: 2x+1 S(x) = 3x+2,

A: Solution:Given     f(x)=2x+13x+23To find the derivativeFormula:ddx(xn)=nxn-1uv'=vu'-uv'v2

Q: At what time does f (t) attain its largest value?

A: Consider f(t) is any function. We know that function attains its largest or smallest value when the…

Q: *3.1 Determine the t-value for Eso-

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: . Use logarithmic differentiation to find y'(0) if y = Vcos3 r V5+

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Q: compute the derivative. c(t) = 1-li – e2'k - e2

A: Given  ct=1ti^-e2tk^

Q: y=t In(\F)

A: We need to evaluate the derivative of the following function  y = t lnt

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1' dollars per…

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Q: Find the linearizationsof the following functions at x = 0. ex

A: fx=ex at x=0. Now differentiating with respect to x, we get f/x=dexdx=ex Now, f0=e0=1 & f/0=e0=1

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.l dollars per…

A: The solution are next step

Q: Give the derivative formula for the function. j(x) = 4 In x – e67 j'(x)=

A: To give the formula of the given function.

Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: Suppose / (x) = /e*, Evaluate: /f(x) dx

A: Givenf(x)=ex

Q: find the values of the derivatives

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Q: Find the derivatives of the functions in Exercis

A: The given function is q=2r-r23.

Q: draw a dependency diagram and write a ChainRule formula for each derivative. dz/dt for z = ƒ(x, y),…

A: Given that z is a function of x, y and x, y is a function of t. So dependency diagram is,

Q: Evaluate the following derivative d/dt (at^2+bt+K)

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Q: 4. If X has an exponential (A) PDF, what is the PDF of W = X² ?

A: Given, X~ exp(λ)       To find, what is the PDF of W=X2

Q: Show that the derivative of ! log (9-1)(g-1)u²+2u–1 u e [0, 1], q 2 3 > 0 for u > 1+(q-1)(2–u)u

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Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: compute the derivative. g(t) = e4t−t2

A: The derivative of a function is given by the expression f'(x)=limh→0f(x+h)-f(x)h. For some standard…

Q: Calculate the following derivative if f(x) = e3x and g(x) = x + x=2. (f o g)' =

A: Given fx=e3xgx=x+x-2

Q: Suppose thất, based on the tons handled in a year, the ports Iisted belowW are the 25 busiest ports…

A: Given data is appropriate for measures of central tendency and measures of dispersion.

Q: (e) Find the net change in h between x = -3 and x = 3. %3D

A: Explanation of the answer is as follows

Q: 7. Find the derivative of each funcrion. a. y = 5-4* b. fCx) = xqx d. FCx) = Togax-1 C. Y =…

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Q: Find the first and second order derivatives of the following function: In(Tx) q(x) = + (Tx +…

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Q: Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

A: The correct option is 4th option.i.e. 2z .

Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x %3D c. f(x)= x?e* – 6x…

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Q: Compute the derivative of the following: 3 g(x) = 5 2x'x 4.

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Q: Find the first and second order derivatives of the following function: In (25x)-a* q(x)=…

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Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

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Q: find the indicated derivatives. dp/dq if p = q3/2

A: Given, p=q32

Q: If f(t) is measured in dollars per year and t is measured in years, what are the units of f(t)dt?

A: We will find out the required unit.

Q: Find the derivative df/dt. * f (t) = 2' + In (t)

A: Given f(t)= 2t+lnt

Q: compute the derivative g(t) = e4t−t2

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Q: Use Logarithmic Differentiation to find dq/dp given that p and q are related by the equation Q5 =…

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Q: Find the derivative of f(x) =log,5x +4| f'(x) = (5x +4) In 4 4 f'(x)%3= (5x +4) In4 4 O pl(x)= 5(5x…

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Q: Find the indicated derivative. d (3t - 7)5 dt t+2 d ( (3t- 7)5 dt t+2 ||

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Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: Find the derivative of h(x) = (x + e*)-020, Select one or more: O a. 2020(1 + e)2019 O b. (x +…

A: The function is h(x)=(x+ex)2020

Q: A. Find the derivative of each of the following: 1. (Зх- 7)12 2. V5x + 3 3. (3-х)4

A: Given : 1.  (3x -7)12  2. √ (5x +3) 3. 1 / (3-x)4  Now we find derivate of these all Equations