Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
- If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (a)(-2)/(1+x^2) fo...
Text Solution
|
- Each question contains statements given in two columns which have t...
Text Solution
|
- Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...
Text Solution
|
- If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...
Text Solution
|
- Statement 1: If differentiable function f(x) satisfies the relation f(...
Text Solution
|
- Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...
Text Solution
|
- If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...
Text Solution
|
- dy/dx=(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2
Text Solution
|
- If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a)(n y)/(sqrt(x^2+a^2...
Text Solution
|
- If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt...
Text Solution
|
- (d)/(dx)cos^(-1)sqrt(cosx),0ltxlt(pi)/(2) is equal to
Text Solution
|
- If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...
Text Solution
|
- If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)...
Text Solution
|
- If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is eq...
Text Solution
|
- If y=asinx+bcosx , then y^2+((dy)/(dx))^2 is a (a)function of x (...
Text Solution
|
- If y=(log)(sinx)(tanx),t h e n(((dy)/(dx)))(pi/4)"is equal to" (a)4...
Text Solution
|
- If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to (a)...
Text Solution
|
- If (lim)(xvec0)(a e^x+bcos x+c e^(-x))/(e^(2x)-2e^x+1)=4,t h e n a.a=...
Text Solution
|
- If underset(xrarroo)(lim)xlog(e)(|(alpha//x,1,gamma),(0,1//x,beta),(1,...
Text Solution
|
- The value of (lim)(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a)-1//2 (...
Text Solution
|