Find f'(x) and simplify. f(x) = 5x4 Inx

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A: Please see the below picture for detailed solution.

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A: We can solve it as follows

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A: given Sinθ=-89

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Q: ) (a) Show using the product rule that [f(x) g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g (x)h(x) +…

A: (a) To show the following by using the product rule. fxgxhx'=f'xgxhx+fxg'xhx+fxgxh'x (b) By using…

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A: According to question,Given Point : -5,1,2,Given Line : a⇀t = -5,0,-3t+-7,1,-5

Q: Is this fully simplifed ?

A: Find y' for the function y=6x-3x2+7x.

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Q: If f and g are two functions that are differentiable at every x in an interval (a, b), and if ƒ'(x)…

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A: The absolute maximum and absolute minimum of functions y=f(x) defined in the interval [a,b] can be…

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Q: Calculate the double integral. Sk [[[x sec²(y) dA, R = {(x, /1105x58,0sys X y) y) | ≤ ≤ ≤ R 2}

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Q: 10x (x² + 1)² Hint: First, find the power series for g(x) = (1 + x²)−¹ and then differentiate.…

A: According to question,Given Function,fx = 10x1+x22

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A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.

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Q: Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in…

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Q: Consider the following power series. Let a = lim LIM R 11 (-1)*(x-8)* ku 11k (-1)* 11k (x-8)*. Find…

A: Solution will be given below

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Q: Problem #1: In a murder investigation, the temperature of the corpse was 36°C at 1:30pm and 19°C 3…

A: Solution: Given data, let t = 0(hrs) be 1:30 p.m. T(t) body temperature at time t T(0) = T₀ = 36°C…

Q: e following function and its graph to answer parts (a) through OW. f(x) = 5-x, x 4. 10- lim f(x) =…

A: Given query is to find  indicated limits.

Q: Consider the function f defined by the formula f(x) = { 2²³ +22² +7 9e²+3 +4x3 Choose the statement…

A: Concept if a function f( x ) is continuous at x = a then limx→a-f( x ) = limx→af( x ) = limx→a+f( x…