We have, f(x)=sinx.cosx=1/2sin2x therefore f^(')(x)=1/2.cos2x.2=cos2x Now, f^(')(x)=0 rArr cos2x=0 rArr cos2x=cospi/2 rArr x=pi/4 Also, f^('')(x)("at x"=pi//4) =-2 sin 2.pi/4=-2sinpi/2=-2lt0 At pi/4, f(x) is maximum and pi/4 is point ...
APPLICATION OF INTEGRALSBook:V PUBLICATIONChapter:APPLICATION OF INTEGRALSExercise:QUESTION BANK Explore 45 VideosSimilar Questions Find the area enclosed by the circle x2+y2=a2 View Solution What is the maximum value of the function sinx+cosx? View Solution Prove that the maximum value of the fun...
Find the maximum or minimum value of the function. f(x) = 7 + 3x - x^2 Which of the following is the maximum value of the function f(x) = 2sinxcosx? a) 0 b) 1 c) 2 d) No maximum value Find the maximum and minimum values of y = e^x - x - 5. Find the ...
Find the maximum value of xy if it is required that 7x + 4y = 28. Maximizing a Product: In this problem we wish to maximize the productxysubject to a linear constraint. First we solve the constraint for y and substitute this expression intoxy.This gives us a function ofx...
how to find the annihilator of sinx and cosx and what about when you have an expression such as x + e^x or (sinx)(e^-x)Here’s the best way to solve it. Solution 100% (2 ratings) Share If the function on the right side of your DE is sin(x), the annihil...
(a) Find the maximum and minimum values of f on the given interval f(x) =sinxcosx+cos2x(0,2π) (b) Find the derivative of the following function: y=1In(cos(sinh(e2x)))Minima & Maxima:With use of one of the two methods to find the maxima ...
What are the maximum and minimum values of ff? What is the average value of ff? Show Solution 19. The graph of y=∫x0ℓ(t)dt,y=∫0xℓ(t)dt, where ℓ is a piecewise linear function, is shown here. Over which intervals is ℓ positive? Over which intervals is it negative?
百度试题 结果1 题目lim_((x,y)→(0,0))msinθcosθ⋅sinx+cosx用 who、which 或 that 填空 What was the name of the horse_ won the race? 相关知识点: 试题来源: 解析 that / which 反馈 收藏
百度试题 结果1 题目the curve y=sinx y=cosxand the x-axis enclose aegin shown shaded in 相关知识点: 试题来源: 解析 曲线y=sinx, y=cosx和x轴围成的阴影部分。反馈 收藏
lim_(x→0)_(t→0)√(x+100sinxdx+cosx+cosx+1)Try to guess a word's (mean)by reading the sentences before and after 相关知识点: 试题来源: 解析 meaning关键词(句):guess:猜翻译:通过读单词前后的句子来尽力猜单词的意思。根据题干“通过读单词前后的句子来尽力猜单词的意思。”,可知考查词...