Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- Differentiate the function with respect to x using the first principle...
Text Solution
|
- Differentiate the function with respect to x using the first principle...
Text Solution
|
- Differentiate the following functions with respect to x from first...
Text Solution
|
- If f(x) is differentiable and strictly increasing function, then the v...
Text Solution
|
- If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...
Text Solution
|
- lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...
Text Solution
|
- Evaluate lim(h->0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h
Text Solution
|
- If x^2+y^2=1, then (a)y y^('')-2(y^(prime))^2+1=0 (b)yy^('')+(y...
Text Solution
|
- Using the first principle, prove that d/(dx)(1-x^2)=-2x
Text Solution
|
- If y is function of x and log(x+y)=2xy, then find the value of y'(0).
Text Solution
|
- Find the derivative of sqrt(4-x) w.r.t. x using the first principle.
Text Solution
|
- The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...
Text Solution
|
- If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) .
Text Solution
|
- Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...
Text Solution
|
- Find the derivative of e^(sqrt(x)) w.r.t. x using the first principle.
Text Solution
|
- f(x)=tan^(-1){log(e/x^2)/log(ex^2)}+tan^(-1)((3+2logx)/(1-6logx)) then...
Text Solution
|
- If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, ...
Text Solution
|
- If f(x)=|x^2-5x+6|,t h e nf^(prime)(x)e q u a l s 2x-5for2<x<3 5-2xf...
Text Solution
|
- If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...
Text Solution
|
- Let f(x^m y^n)=mf(x)+nf(y) for all x , y in R^+ and for all m ,n in ...
Text Solution
|