The tangent to the curve y =x^3 +1 at (1...

The tangent to the curve y `=x^3 +1` at (1,2) makes an angle `theta` with y-axis, then the value of tan`theta` is

A

`(-1/3)`

B

3

C

-3

D

`1/3`

Text Solution

Verified by Experts

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
MODERN PUBLICATION|Exercise EXERCISE|433 Videos
APPLICATIONS OF THE INTEGRALS
MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y^2=x , where the tangent makes an angle of pi/4 with x-axis is

The tangent of the curve y = 2x^2 - x + 1 is parallel to the line y = 3x + 9 at the point

If tan theta=1/2 and tan phi=1/3 , then the value of (theta + phi) is :

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is

The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/4 makes with x-axis an angle

At what point of the curve y = x^2 does the tangent make an angle of 45^@C with the x-axis?

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE

The function f(x) = 2x^3 -15x^2+36x+6 is stictly decreasing in the int...
Text Solution
|
The slope of the tangent to the curve y^2e^(xy) =9e^(-3)x^2 at (-1,3) ...
Text Solution
|
The tangent to the curve y =x^3 +1 at (1,2) makes an angle theta with ...
Text Solution
|
A stone is dropped into a quiet lake and wave move in circles at a spe...
Text Solution
|
If 'f' is a real valued differentiable function such that f(x) f'(x) <...
Text Solution
|
Maximum value of the function f(x) = x/8+2/x on the interval [1,6] is
Text Solution
|
f(x) = (logx)/x is increasing in the interval
Text Solution
|
The total number of local maxima and local minima of the function f(x)...
Text Solution
|
Given p(x) =x^4 +ax^3 +bx^2+cx +d such that x = 0 is the only real roo...
Text Solution
|
The equation of the tangent to the curve y = x+4/x^2, that is parallel...
Text Solution
|
Let f: R rarr R be a positive increasing function with underset(xrar...
Text Solution
|
Let F: R rarr R be defined by: f(x) = {:{(k-2x,ifxle-1),(2x+3,ifx> -1)...
Text Solution
|
A spherical balloon is filled with 4500pi cubic metres of helium gas. ...
Text Solution
|
The real number k for which the equations 2x^3 +3x+k=0 has two distinc...
Text Solution
|
The number of points in (-oo,oo) for which x^(2)-xsinx-cosx=0, is
Text Solution
|
The normal to the curve x^(2)+2xy-3y^(2)=0 at (1, 1)
Text Solution
|
Let f(x) be a polynomial of degree four having extreme values at x =1 ...
Text Solution
|
Consider f(x) = tan^-1(sqrt((1+sinx)/((1-sinx)))), x in (0,pi/2) A nor...
Text Solution
|
A wire of the length 2 units is cut into two parts which are bent resp...
Text Solution
|
The least value of alpha in R for which 4alphax^(2)+(1)/(x)ge1, for al...
Text Solution
|