हिंदी

Find d2ydx2, if y = log (x). - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find `("d"^2"y")/"dx"^2`, if y = log (x).

योग
Advertisements

उत्तर

y = log x

Differentiating both sides w.r.t.x, we get

`"dy"/"dx" = 1/"x"`

Again, differentiating both sides w.r.t. x , we get

`("d"^2"y")/"dx"^2 = (- 1)/"x"^2`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Differentiation - MISCELLANEOUS EXERCISE - 3 [पृष्ठ १०१]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 3 Differentiation
MISCELLANEOUS EXERCISE - 3 | Q IV] 19) | पृष्ठ १०१

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If y=2 cos(logx)+3 sin(logx), prove that `x^2(d^2y)/(dx2)+x dy/dx+y=0`


If x cos(a+y)= cosy then prove that `dy/dx=(cos^2(a+y)/sina)`

Hence show that `sina(d^2y)/(dx^2)+sin2(a+y)(dy)/dx=0`


Find the second order derivative of the function.

x2 + 3x + 2


Find the second order derivative of the function.

x3 log x


Find the second order derivative of the function.

tan–1 x


Find the second order derivative of the function.

log (log x)


If y = Aemx + Benx, show that `(d^2y)/dx^2 - (m+ n) (dy)/dx + mny = 0`.


If y = 500e7x + 600e–7x, show that `(d^2y)/(dx^2)` = 49y.


If ey (x + 1) = 1, show that `(d^2y)/(dx^2) = (dy/dx)^2`.


Find `("d"^2"y")/"dx"^2`, if y = `sqrt"x"`


Find `("d"^2"y")/"dx"^2`, if y = `"e"^"x"`


Find `("d"^2"y")/"dx"^2`, if y = `"x"^2 * "e"^"x"`


sec(x + y) = xy


tan–1(x2 + y2) = a


(x2 + y2)2 = xy


If ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, then show that `"dy"/"dx" * "dx"/"dy"` = 1 


If x sin (a + y) + sin a cos (a + y) = 0, prove that `"dy"/"dx" = (sin^2("a" + y))/sin"a"`


Derivative of cot x° with respect to x is ____________.


Let for i = 1, 2, 3, pi(x) be a polynomial of degree 2 in x, p'i(x) and p''i(x) be the first and second order derivatives of pi(x) respectively. Let,

A(x) = `[(p_1(x), p_1^'(x), p_1^('')(x)),(p_2(x), p_2^'(x), p_2^('')(x)),(p_3(x), p_3^'(x), p_3^('')(x))]`

and B(x) = [A(x)]T A(x). Then determinant of B(x) ______


If x = A cos 4t + B sin 4t, then `(d^2x)/(dt^2)` is equal to ______.


If x = a cos t and y = b sin t, then find `(d^2y)/(dx^2)`.


Find `(d^2y)/dx^2 if, y = e^((2x + 1))`


Find `(d^2y)/dx^2` if, `y = e^((2x + 1))`


Find `(d^2y)/(dx^2)` if, y = `e^((2x+1))`


Find `(d^2y)/dx^2  "if,"  y= e^((2x+1))`


Find `(d^2y)/dx^2, "if"  y = e^((2x+1))`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×