4. Derive y = e¬* sin x.

Q: 2. On a college campus of 5000 students, the spread of flu virus through the student is modeled 5…

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Q: If y(x) = arcsin u, then y' is T-ua VI-ua Option4 Option3 u' vitua Vitua Option1 Option 2

A:

Q: (り 12 sin n

A: We need to find first derivative.

Q: 4. y = In(8x – 3) (2x + 1)

A:

Q: If y(x) = u/v, then y' is * du Option1 Option3 du vdu Option4 Option 2

A:

Q: If y(x) = e^u, then y' is * e“ to Option3 Option1 du u Option 2 Option4 |3

A: applying chain rule if function has some other variable then its derivative has to be done here…

Q: If y(x) = csc u, then y'is * -du - cot?u du dk Cscu cotu Option3 Option 2 cot u du cseu cotu Option4…

A:

Q: Determine a direction derived from the point P and in the direction of the versor vector → informed…

A: Given:  Let f be a differentiable function at the point (a, b). Then f has a directional derivative…

Q: f(x) = sec-'(1 + x²)

A:

Q: y = cos³V2x – 1

A:

Q: 15. Given that f(1) = 5, ƒ'(1) = 4, g(1) = 2,, and g'(1) = 3, find d dæ (F(æ)g(x)) x-1 and dx f(æ)…

A:

Q: f(t) = e*(t² – 2t + 2).

A:

Q: Derivatives

A: