Calculated for each one of the following functions. In each case show all (x) your steps in calculating the derivative. Assume x > 0. i. f(x) = x³ ii. f(x) = 5x5 ii. f(x)=x4" iii. f(x)= = 25e(*/5) sity

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Q: Determine the second derivative of the function: g(x g(x) = ex X

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Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

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Q: Find the derivative of each function at the specified value of x.

A: Given: k(x)=tan(x)cot(x), x=π4

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

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Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

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Q: Vt+3 Find the derivative of the given function.

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Q: 5x Use the derivative to find where the function is increasing y = X+1

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