Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25 using Central Difference. Find their %Error vis-à-vis their true value. X f(x) %Error 0 | 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.0

Q: Determine where the function f(x) is decreasing given the first derivative is: ƒ¹(x) = x²(x + 1)

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Q: Select all that apply. Select the functions whose value is undefined. sec 90° cot 90° sin 270° cos…

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Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

Q: Find the nth order derivative of the power function y=xm where m is a real number.

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Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…