·g(t) = cos(e*) Arcsin(3t + 2) j(t) = In(sin (t) - nt %3D sin(Arccsc 02)+n ·g(0) = cot n0

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

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Q: Determine the derivative of the following function. Do not simplify.  y = (x - 2)3√2x-1 (sqaure…

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Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Find the derivatives of the functions in Exercise

A: The given function is u=5x+12x.

Q: Determine whether each of the following statements is true or false, and explain why The derivative…

A: Given-  The derivative gives the instantaneous rate of change of a function. To determine- Whether…

Q: Find the second and third derivative of the following 893 1. y 12x6x7 +17x5-6x4 +24x³ THE 2. y =…

A: Derivative of all functions continuously 3rd order And we get,

Q: Find the derivative by the definition of each of the following functions: - + 2x

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Q: Solution 1 of 3 You were asked to graph the function by considering how the function x² has been…

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Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: 2.2 Vx + y = 1 + x*y²

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Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: 1 (a) y = Va2 -- csc(2x) + 3 +1' (b) y = sin x

A: Compute the derivatives of the following functions (a) x2/3-cosec(2x)+1/π (b)( (x2+1)/sinx)3