Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t; s = 4¢, t= ¢/2 dR dø ||

A: Given: Now,         dRdϕ=∂R∂sdsdϕ+∂R∂tdtdϕ      =e8s-t2· 8dsdϕ+-2e8s-t2tdtdϕ      =e8s-t2·…

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: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: Use the Chain Rule to find the derivative. y = sin(x2)

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Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that…

Q: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: y=57x3+1-3

Q: Use the Chain Rule to find the derivative.

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Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

A: y = (x4 − x3 − 1)2/3 derivative formula ddxxn=nxn-1

Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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Q: Use the u-substitution to find the anti-derivative of m'(x)= 1/xln(x)

A: solution :- antiderivative is the integration  So put ln(x)  = u Then (1/x )dx  = du And then…

Q: use the Chain Rule to find the derivative. y = cos3(12θ)

A: Here given as y=cos312θ

Q: Find the derivative of f(x) = e* (3x' - 4) %3D

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Q: Find the derivative of y=-3/(t-2)4

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Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: Find the derivative. y = Vx2 + 1

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

A: The given function is ;  y=x2+9x-2  ...........................(1) differentiate with respect to x

Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

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

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Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

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Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

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Q: Use the chain rule to find the derivative of f(x)=5e^(3x^9−6x^10) f'(x)=____

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Q: Find the derivative of the following using the three-step rule Зх -1 1. у3 2x+5

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Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: =) f(x) = x²e¬4x

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Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

Q: Use the Chain Rule to find the derivative. y = cos3(12θ)

A: Given function is y=cos312θ. To find the derivative of the given function using chain rule.…

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Use the Chain Rule to find the derivative. y = √(t2 + 9)

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x2 +…

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Q: Find the derivative. e5x y = e5x + 6

A: Given,          y=e5xe5x+6

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 5¢, t = 6/2 %3D dR…

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Q: f(x) e3x+1 lnx³

A: Here we have two functions in the right hand side. That is f(x) is the product of two functions. So…

Q: Use the Chain Rule to find the derivative.

A: Given expression

Q: Find the derivatives of the following functions using CHAIN RULE. f(x) = (4x2-5x)3

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

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Q: Use the chain rule to find the derivative of 3e^ 8x^7−6x^6 Use e^x for exex.

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Q: The derivative of y x²+1 is х2—1 =

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Q: Fg(x) = 1 Vx-1

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Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Use the product rule, quotient rule, and chain rules to find the derivative   f(x)=sec(x^2)/e^x

A: on differentiation we get the value

Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: Use the chain rule to find the derivative of f(x) = 2e5a* + 9x³ %3D f' (x) =

A: We have to find

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

A:

Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: a derivative computation using the FTC and the chain rule t): df 13

A: Given : ddxFx3 =ddx∫13x3e-t2dt

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.