Find the derivative of the function using the definition of derivative. _ 3 g(t) = g'(t) = State the domain of the function. (Enter your answer using interval notation.) State the domain of its derivative. (Enter your answer using interval notation.)

Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: Function: y=cos x+1x 1) To use a computer algebra system to find the derivative of the function. 2)…

Q: Find the derivative of the algebraic function.

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Q: Explain the relationship between a function and the derivative by providing an example.

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Q: Find the derivative of the function

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Q: 2. f(x) = x²cos 2 x 3. f(x) = tan x – sec x sin x 4. f(x) = 5. f(x) = 2cos (2 + x³) 6. f(x) = x²ln x…

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Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

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Q: 2. y=cot1-2x 3. y=log22x*

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: determine a function by being given the function’s first derivative and an initial condition for the…

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Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v²…

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Q: Write all of the derivative rules.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: