मराठी

Find the Slope of the Tangent to the Curve Y = 3x4 − 4x at X = 4. - Mathematics

Advertisements
Advertisements

प्रश्न

Find the slope of the tangent to the curve y = 3x4 − 4x at x = 4.

उत्तर

The given curve is y = 3x4 − 4x.

Then, the slope of the tangent to the given curve at x = 4 is given by,

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Application of Derivatives - Exercise 6.3 [पृष्ठ २११]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 12
पाठ 6 Application of Derivatives
Exercise 6.3 | Q 1 | पृष्ठ २११

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the equation of the normal at a point on the curve x2 = 4y which passes through the point (1, 2). Also find the equation of the corresponding tangent.


Find the equation of all lines having slope 2 which are tangents to the curve `y =   1/(x- 3), x != 3`


Find the equations of the tangent and normal to the given curves at the indicated points:

y = x4 − 6x3 + 13x2 − 10x + 5 at (1, 3)


Find the equations of the tangent and normal to the given curves at the indicated points:

y = x3 at (1, 1)


Find the equation of the normal at the point (am2am3) for the curve ay2 = x3.


Find the points on the curve y = `4x^3 - 3x + 5` at which the equation of the tangent is parallel to the x-axis.


Find the slope of the tangent and the normal to the following curve at the indicted point  x = a (θ − sin θ), y = a(1 − cos θ) at θ = π/2 ?


Find the slope of the tangent and the normal to the following curve at the indicted point  y = (sin 2x + cot x + 2)2 at x = π/2 ?


Find the points on the curve xy + 4 = 0 at which the tangents are inclined at an angle of 45° with the x-axis ?


Find the points on the curve y = 3x2 − 9x + 8 at which the tangents are equally inclined with the axes ?


At what points on the curve y = 2x2 − x + 1 is the tangent parallel to the line y = 3x + 4?


Find the equation of the tangent and the normal to the following curve at the indicated point  y = x2 at (0, 0) ?


Find the equation of the tangent and the normal to the following curve at the indicated point  \[\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \text { at } \left( a\sec\theta, b\tan\theta \right)\] ?


Find the equation of the tangent and the normal to the following curve at the indicated point 4x2 + 9y2 = 36 at (3cosθ, 2sinθ) ?    


Find the equation of the tangent and the normal to the following curve at the indicated points \[x = \frac{2 a t^2}{1 + t^2}, y = \frac{2 a t^3}{1 + t^2}\text { at } t = \frac{1}{2}\] ?


Find the equation of the tangent and the normal to the following curve at the indicated points x = at2, y = 2at at t = 1 ?


Find the equation of the tangent and the normal to the following curve at the indicated points x = a(θ + sinθ), y = a(1 − cosθ) at θ ?


Find the equation of the tangent to the curve x2 + 3y − 3 = 0, which is parallel to the line y= 4x − 5 ?


Find the angle of intersection of the following curve x2 + y2 = 2x and y2 = x ?


Show that the following set of curve intersect orthogonally y = x3 and 6y = 7 − x?


Show that the following set of curve intersect orthogonally x3 − 3xy2 = −2 and 3x2y − y3 = 2 ?


Find the point on the curve y = x2 − 2x + 3, where the tangent is parallel to x-axis ?


Find the slope of the tangent to the curve x = t2 + 3t − 8, y = 2t2 − 2t − 5 at t = 2 ?


Write the angle between the curves y2 = 4x and x2 = 2y − 3 at the point (1, 2) ?


Write the coordinates of the point at which the tangent to the curve y = 2x2 − x + 1 is parallel to the line y = 3x + 9 ?


At what point the slope of the tangent to the curve x2 + y2 − 2x − 3 = 0 is zero


Find the angle of intersection of the curves y2 = 4ax and x2 = 4by.


The tangent to the curve given by x = et . cost, y = et . sint at t = `pi/4` makes with x-axis an angle ______.


The equation of the normal to the curve y = sinx at (0, 0) is ______.


Find the angle of intersection of the curves y = 4 – x2 and y = x2.


The equation of normal to the curve y = tanx at (0, 0) is ______.


The points on the curve `"x"^2/9 + "y"^2/16` = 1 at which the tangents are parallel to the y-axis are:


The two curves x3 - 3xy2 + 5 = 0 and 3x2y - y3 - 7 = 0


The tangent to the curve y = x2 + 3x will pass through the point (0, -9) if it is drawn at the point ____________.


Find the equation of the tangent line to the curve y = x2 − 2x + 7 which is parallel to the line 2x − y + 9 = 0.


Tangent and normal are drawn at P(16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and ∠CPB = θ, then a value of tan θ is:


Let `y = f(x)` be the equation of the curve, then equation of normal is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×