Differentiation Class 12 OP Malhotra Exe-8F ISC Maths Solutions Ch-8 Solutions. In this article you would learn about derivatives of inverse trigonometric functions . Step by step solutions of latest textbook has been given as latest syllabus. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.
Differentiation Class 12 OP Malhotra Exe-8F ISC Maths Solutions Ch-8
| Board | ISC |
| Publications | S Chand |
| Subject | Maths |
| Class | 12th |
| Chapter-8 | Differentiation |
| Writer | OP Malhotra |
| Exe-8(F) | derivatives of inverse trigonometric functions |
Exercise- 8F
Differentiation Class 12 OP Malhotra Exe-8F Solution
Que-1: sin-1(3x)
Sol: Let y = sin-13x,; diff. both sides w.r.t. x, we have
Que-2: cos-1(x/2)
Sol:
Que-3: sin-1(2x – 3)
Sol: Let y = sin-1(2x – 3) ; diff. both sides w.r.t. x, we have
dy/dx= 1/√1-(2x-3)² d/dx (2x-3)
= 2/√(-4x²+12x-8) = 1/√(-x²+3x-2)
Que-4: tan-13x²
Sol: Let y = tan-13x²; diff. both sides w.r.t. x, we have
Que-5: sin-1(√x)
Sol: Let y = sin-1(√x); diff. both sides w.r.t. x, we have
dy/dx= 1/√(1-(√x)² d/dx (√x)
1/√(1-x) . 1/2√x = 1/2√x(√1-x)
Que-6: cos-1(x/1+x)
Sol:
Que-7: (sin-1 x)³
Sol: Let y = (sin-1 x)³ ; diff. both sides w.r.t. x, we have
dy/dx=3(sin-1x)² d/dx (sin-1x)
= 3(sin-1x)²/√1-x²
Que-8: cot-1 (1+x/1-x)
Sol:
Que-9: cos-1(sin x)
Sol: Let y = cos-1 (sin x)
Que-10: sin(tan-1x)
Sol: Let y = sin(tan-1x) ; Diff. both sides w.r.t. A, we have
dy/dx= cos(tan-1x) . d/dx (tan-1x)
= 1/(1+x²) cos (tan-1x)
Que-11: x² cos-1(2/x)
Sol:
Que-12: 1/ab tan-1(b/a tan x)
Sol:
Que-13: x cos-1(x)/√1-x²
Sol:
Que-14: x√(a²-x²) + a² sin-1 x/a
Sol:
Que-15: If y = sin (2 sin-1 x), show that dy/dx= 2√(1-y)²/√(1-x²)
Sol:
–: End Differentiation Class 12 OP Malhotra Exe-8F ISC Math Ch-8 Solution :–
Return to :- OP Malhotra ISC Class-12 S Chand Publication Maths Solutions
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