Solve for the derivatives of the following functions with complete solutions. Use a separate sheet of paper for your answer. 1. y= In (5x²) 2. y = In (4 – 5x) 4. y = 3-x2 Inx 5. y=

Q: Find the derivative Of y=4e^-0.3t

A:

Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

A: Q 8 Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find derivatives of the function defined as follows. y = -4e-0.3x

A: Given,  y=−4e−0.3xFormula→ddxaex=aex  where a is constant.

Q: Calculate the derivative of the following functions. y = cos7/4(4x3)

A: We use the power rule and chain rule to find the first derivative.

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A:

Q: Find the derivative of h(x)=(3x+4)3/  (−3x−2) 4 You should leave your answer in factored form. Do…

A: The given function is h(x) = (3x+4)3/(−3x − 2)4. Rewrite the given function as h(x) = (3x+4)3/(3x +…

Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

A:

Q: Find derivatives of the functions defined as follows: y = 73x+1

A: y=73x+1ory=73x·7ory=7·73x Use formula of derivative ddxax=axln a

Q: Find the derivative of the following function. 3 10 -8 y = 5x 2+ 10x i.! y' =O

A: Given: y=5x-32+10x-12+x10-8 We know that ddxxn=nxn-1…

Q: Find the derivative of the following with respect to the given variable 1. 2x -6x + 15x - 18 2. 5y -…

A: Solution: The objective is to find the derivative of the given functions

Q: Find the derivatives of the functions y =1 + x - 4√x/x

A: We distribute the denominator and then write using exponents

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

A:

Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of the function y=2x+12x−1 at x=1.

A:

Q: I. Find the derivatives of the following functions: 4. -3xy2 + 5x²y² = 2x² 5. x3 + y = 2x3 y³

A: (i). The given function is: -3xy2+5x2y2=2x2

Q: Find all derivatives of the function y=1/1−5x.

A: Given function is Differentiating both sides with respect to x ,repeatedly, we get In general, nth…

Q: Find the second derivative of the function y=4√x+1.

A:

Q: Find the derivative of the function y=1x+1√x+13√x.

A: Given:  y=x+x+13xDifferentiation formula:ddxxn=n.xn-1ddxx=1ddxc=0

Q: Find the derivatives of the functions y = (x + 1)2(x2 + 2x)

A: Given function is y=x+12x2+2x We have to find derivative of given function. To differentiate the…

Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: Calculate the derivative of the following function. 4x y = e **(4x- 1)9

A:

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³…

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Q: Find the derivatives of the functions y = √2e√2x

A: Given: y=2e2x we know that  ddxekx=kekx

Q: what is the derivative of the following function; y = x 2e -3x

A:

Q: Find the derivative of the following: 2a1-32²–1 y = 2 O y' = 4x 23 2 O y' = 4+ O y' = 4 – 2 y' = 4x…

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Q: Find the derivatives of the functions y =(x + 1)(x + 2)/(x - 1)(x - 2)

A:

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A: Given that

Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

A:

Q: Q1) Find the derivative of the following: x2 +3 y = 7 (x – 1)3 + (x + 1)3

A: I have simplified first then differentiate

Q: Find derivatives of the functions defined as follows: y = 4-5x+2

A: Given: y=4-5x+2

Q: Find derivatives of the functions defined as follows: y =x2e-2x

A: From the given data:

Q: Find the derivative of the following functions: 1. y= (2x + 1)(4x – 1)? y = 2. V3x x3/244 x² y = 3.

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

A:

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivatives of the functions defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Find the derivatives of the functions y = (2x + 1)√2x + 1

A: we have to find the derivative of y=(2x+1)2x+1

Q: Find the derivatives of the functions y = x-2 sin2 (x3)

A: We have to find derivatives of the functions: y=x-2 sin 2x3 We know formula of differentiation,…

Q: Find the derivatives of the functions u = 5x + 1/2√x

A:

Q: Solve for the derivatives of the following functions with complete solutions. a. y = In (5x²) b. y =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A:

Q: Find the derivative of the following equations (using formulas) 1 3. x = 4. y = x²(2x + 1)²

A:

Q: Find the derivatives of the functions y = 8-t

A: Known fact: ddxkx=kddxf+g=dfdx+dgdx

Q: 3. Find the derivative of y = | (12 +1) dt.

A:

Q: Find the second derivative of the function. y = 1/(5x + 1)

A: we have to find the second derivative of y=1(5x+1)=(5x+1)-1

Q: Calculate the derivative of the following functions. y = (5x + 1)2/3

A: The given function is: y = (5x + 1)2/3 The chain rule is: ddxfgx=f'gx·g'x And, the derivative of xn…

Q: Find derivatives of the functions defined as follows: y = 4e2x2-4

A: We have  y=4e2x2-4 Then, dydx=d4e2x2-4dx=4de2x2-4d2x2-4.d2x2-4dx=4e2x2-44x=16xe2x2-4

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.