Qn.3: For a function, a product function such that Y = U.V, where both U and V are expressed in form of the dependent variable, then Ud+vdu Where; U = ( = dx dx dx 3x² + 5x), V = (9x³ - 10x²) a) Differentiate the respective variables of U and v b) Fitting them into the main differentiation function c) Generate a set counting numbers up to 21 d) From your set perform the following: i. Extract out sets A as prime, B as odd, C as even numbers respectively | ii. Extract members for AnB, AnC, BnC, and AnBnC

Q: Differentiate the function. u = Vi + 4V7 u' =

A: Given, u=t7+4t7 This can be written as, u=t17+4(t7)12 u=t17+4t72

Q: Which of the following functions satisfy the following conditions lim f(x) = 0, lim f(x) = , f(2) =…

A:

Q: Use implicit differentiation to find du/dv if vu+ Vu = 5. 4 Answer: -V 4

A: u+v=5

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A: Implicit differentiation

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

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A:

Q: 1. a) Copy and complete the table below: Original Function First derivative Second Derivative f(t) =…

A: Original Functionf(t)=5t−3−5e0=5t3−5f(z)=ln100h(p)=−2e1−pFirst Derivative…

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A: We have to choose the correct answer from the given options

Q: cos(3x)dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,

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Q: дz дz Use implicit differentiation to find and Әх ду əz Әх дz = x2 + 2у² + 5z² = 6

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