MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Equation of Tangent at a Point (x,y) in Terms of f'(x)

Tangents to C...

Question

Tangents to Curves
Find the slope of the tangent drawn to the graph of the function y = tan x at the point with abscissa $x_{0} = π / 4.$

Open in App

Solution

$y = tan x$

$\frac{d y}{d x} = {sec}^{2} x$

At $x = \frac{π}{4}$

slope $= {sec}^{2} \frac{π}{4} = 2$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The tangent to the graph of the function

y = f (x)

at the point with abscissa x = a forms with the x-axis an angle of

π / 3

and at the point with abscissa x = b at an angle of

π / 4

, then the value of the integral,

\int_{a}^{b} f^{'} (x) . f^{''} (x) d x

Q. The tangent to the graph of the function y = f(x) at the point with abscissa x = a forms with the x-axis an angle of

\frac{π}{4}

and at the point with abscissa x = b at an angle of

\frac{π}{3}

, then find the value of

b \int a f^{'} (x) . f^{''} (x) d x

Q.
Find the angle between the tangents to the graph of the function

y = x^{3} - x

at points with abscissas

x_{1} = - 1 a n d x_{2} = 1.

Q. A line tangent to the graph of the function

y = f (x)

x = a

π / 3

with the axis of abscissas and angle

π / 4

x = b

\int_{a}^{b} f^{''} (x) d x

(f^{''}

is assumed to be a continuous function)

Q. Find the angle between the tangents to the graph of the function

f (x) = x^{3} - 4 x^{2} + 3 x + 1

drawn at the points with abscissas 0 and 1.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Geometrical Interpretation of a Derivative

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Equation of Tangent at a Point (x,y) in Terms of f'(x)

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon