Derivative Essay Samples and Topic Ideas

derivative = e-x22+e-x22.x2it follows that when 0=e-x22(x2-1)x=±1f(1)=1√eThe points of inflections are (1, 1/√e) and (-1, 1/√e) b).f(x)=x+2sinxfirst derivative =1+2cos x Second derivative =2sinxGetting the local maxima and minima we equate the first derivative to zero 1+2cos x=0cos x=-12x=2π3, 4π3 evaluating the second derivative at x=2π3 and x=4π3-2sin2π3 =-2sin32=-√3. Therefore x=2π3 is a maximum value -2sin4π3 =-2sin-32=√3And x=4π3 minimum C. f(x)=x13(x+4)The first derivative =x13ddx(x+4)+x+4ddxx13=x13+(x+4)(13x23)=x13+(x3x23+43x23)f'(x)=43x23+4x133Using the product rule to get the second derivative...

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derivative: f’(x)=-3x2 f’(X)= 0 0=-3x2 X=0 For absolute minima and maxima; f(0)=2-(0)3=2 f(-2)=2-(-2)3=10 f(1)=2-(1)3=1 Therefore: abs minima =1 at x=1 Abs maxima=10 at x=-2 (d) Calculate the limits of the following limx→0x+5x2 Solution Divide both numerator and denominator by x2 =lim x->0 1/x+5/x2 Since we have 0 in the denominator, the limit=0 (e) evaluate A'(x) at x = 1, 2, and 3. A(x) = -3x 2t dtSolution =d/dx(t2) At x=1; (12)-(-32) =-5 At x=2; (22)-(-32) =-2 At x=3;(32)-(-32) =12 (f) . Let A(x) represent the area bounded by the graph and the horizontal axis and vertical lines at t=0 and t=x for the graph in Fig. 25. Evaluate A(x) for x = 1, 2, 3, 4, and...

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derivative of at 1. (g∘f)′(1)=g′(f(1))f′(1) =g′(e)f′(1) =(2e−4)(e) =2e2−4e (d) Find the differential of . Find , an equation of the tangent line to the graph of at y = mx + c y = 2 x = 2 m = 0.42 c = 1.16 y = 0.42x+c Two cars start moving from the same point. One travels east at a constant rate of 60 miles per hour and the other travels north at a constant rate of 70 miles per hour. Find the rate at which the distance between the cars is changing 1 hour later. You may round your answer to two digits after the decimal sign. Distance = Rate x Time A = 60 x 1 = 60 Miles B = 70 x 1 = 70 Miles 3619508953500 70 z 60 x2+y2=z23600 + 4900 = z2 Z = 92.20 X =...

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derivative when occupational research is reviewed. This framework construction enables the development of valid hypotheses that functionalize subjective warrant along with inviting the observation of researchers. Q3 What principles do you believe should guide the government regulation of dangerous practices? The government should apply the rule of an arrest warrant to the criminal. An arrest warrant should be issued by the judge to the authorized officer after being assured that an individual has committed an offense. The authorized officer should then take action according to the directives issued (Riccucci 378). On the other hand, it is necessary for the judge to give summons to an individual...

derivative of the attack of the immune system of the beta cells found in the pancreas and that play a part in the secretion of insulin. Even though the mechanism behind the immune system destroying the beta cells is not clearly known, several hypotheses have been advanced to explain the occurrence of type 1 diabetes. Type 1 diabetes has been observed to run in families that suggest a link between the disorder and genetic tendency (Atkinson, Eisenbarth & Michels, 2014). The occurrence of type 1 diabetes has also been linked to viral infection. The immune system is activated during a viral infection to destroy infectious viral particles (Atkinson, Eisenbarth & Michels, 2014). In the event of an...

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derivative of a speech by Thoreau, which addressed slavery and the Mexican-American war. Slavery was commonplace in the United States during the late 1840s. Despite the increased resistance, slavery increased, and injustices against slaves became extreme (Meltzer 65). These injustices motivated reformers to resist the government through civil disobedience acts, such as the refusal to pay taxes (Meltzer 84). Motivated by the disgust with slavery and war, Thoreau wrote a speech about the two injustices, which later became an essay titled Resistance to Civil Government (Bloom 6). In the essay, Thoreau advocated for rebellion against the government. He urged the citizens to oppose taxation since the...

Derivatives Derivatives can either be financial assets or liabilities. Fair value is relied on by the Company to recognize variations of financial assets and liabilities as well as non-financial assets and liabilities. Fair value constitutes the money that the Company would receive for the sale of an asset in a rational market or the money the Company would pay for the acquisition of a liability in a similar market. To optimize the application of observable inputs, the company ranks fair value disclosures based on three hierarchies (McDonald's Corporation 2015 Annual Report, 2015). A valuation hierarchy relies on the transparency of input during the valuation of asset or liability at the measurement...