Differentiation Using Substitution
Trending Questions
Q.
If x + y + z = xyz, then tan-1x + tan-1y + tan-1z =
1
π/2
tan-1 (xyz)
π
Q. Prove that. tan70^°= tan20^° +2 tan 50^°
Q. Let cos−1(yb)=log(xn)n . Then
(Here y2≡d2ydx2, y1≡dydx)
(Here y2≡d2ydx2, y1≡dydx)
- x2y2+xy1+n2y=0
- xy2−xy1+2n2y=0
- x2y2+3xy1−n2y=0
- xy2+5xy1−3y=0
Q. If tan-1(1+x2-1-x2)/1+x2+1-x2)=alpha , then prove that x2=sin2alpha
Q. Write an anti-derivative for the functions using the method of inspection:
(i) cos2x
(ii) 3x2+4x3
(iii) 1x, x≠0
(i) cos2x
(ii) 3x2+4x3
(iii) 1x, x≠0
Q. The derivative of xsin−1x with respect to sin−1x is
- xsin−1x[lnx+sin−1x√(1−x2)x]
- −xsin−1x[lnx+sin−1x√(1−x2)x]
- xsin−1x[lnx+sin−1x√(1+x2)x]
- −xsin−1x[lnx+sin−1x√(1+x2)x]
Q. If y=√(1+cos2θ1−cos2θ), dydxatθ=3π4 is
- −2
- 2
- none of these
- ±2
Q. If tan2A×tan4A=1 then find the value of tan3A
Q. Value of tan pi/16
Q.
Prove that sin−1817+sin−135=sin−17785.
Q. If √(1−x2n)+√(1−y2n)=a(xn−yn), then √(1−x2n1−y2n)dydx is equal to
- xn−1yn−1
- yn−1xn−1
- xy
- 1
Q. If y=xxx.....∞, then dydx at y=x=1 is
- 1
- -1
- \N
- 12