If y = sin (m sin−1 x), then (1 − x2) y2 − xy1 is equal to
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If y = (sin−1 x)2, then (1 − x2)y2 is equal to
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If y = etan x, then (cos2 x)y2 =
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If \[y = \frac{ax + b}{x^2 + c}\] then (2xy1 + y)y3 =
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If \[y = \log_e \left( \frac{x}{a + bx} \right)^x\] then x3 y2 =
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If x = f(t) cos t − f' (t) sin t and y = f(t) sin t + f'(t) cos t, then\[\left( \frac{dx}{dt} \right)^2 + \left( \frac{dy}{dt} \right)^2 =\]
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If \[y^\frac{1}{n} + y^{- \frac{1}{n}} = 2x, \text { then find } \left( x^2 - 1 \right) y_2 + x y_1 =\] ?
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If \[\frac{d}{dx}\left[ x^n - a_1 x^{n - 1} + a_2 x^{n - 2} + . . . + \left( - 1 \right)^n a_n \right] e^x = x^n e^x\] then the value of ar, 0 < r ≤ n, is equal to
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If y = xn−1 log x then x2 y2 + (3 − 2n) xy1 is equal to
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If xy − loge y = 1 satisfies the equation \[x\left( y y_2 + y_1^2 \right) - y_2 + \lambda y y_1 = 0\]
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
If y2 = ax2 + bx + c, then \[y^3 \frac{d^2 y}{d x^2}\] is
[6] Applications of Derivatives
Chapter: [6] Applications of Derivatives
Concept: undefined >> undefined
\[\int e^{ax} \cos\ bx\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{ax} \text{ sin} \left( bx + C \right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\text{ cos }\left( \text{ log x } \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \cos \left( 3x + 4 \right) \text{ dx }\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \sin x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^x \sin^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int\frac{1}{x^3}\text{ sin } \left( \text{ log x }\right) dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{2x} \cos^2 x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
\[\int e^{- 2x} \sin x\ dx\]
[7] Integrals
Chapter: [7] Integrals
Concept: undefined >> undefined
