Practice Questions on differentiation : Addition and Subtraction

निम्न फलनों का अवकलन ज्ञात कीजिए:

QuestionsAnswers
1. f(x)=4x37x2+5x3f(x) = 4x^3 – 7x^2 + 5x – 3 12x214x+512x^2 – 14x + 5
2. f(x)=8x4+2x9f(x) = 8x^4 + 2x – 9 32x3+232x^3 + 2
3. f(x)=6x211x+14f(x) = 6x^2 – 11x + 14 12x1112x – 11
4. f(x)=3x55x3+7f(x) = 3x^5 – 5x^3 + 715x415x215x^4 – 15x^2
5. f(x)=2x4+9x24x+12f(x)=-2x^4 + 9x^2 – 4x + 12 8x3+18x4-8x^3 + 18x – 4
6. f(x)=10x33x2+8x6f(x)=10x^3 – 3x^2 + 8x – 6 30x26x+830x^2 – 6x + 8
7. f(x)=5x7x4+11f(x) = 5x – 7x^4 + 11528x35 – 28x^3
8. f(x)=7x2+4x313x+2f(x) = 7x^2 + 4x^3 – 13x + 2 12x2+14x1312x^2 + 14x – 13
9. f(x)=12x58x+15f(x)=12x^5 – 8x + 15 60x4860x^4 – 8
10. f(x)=9x3+6x24f(x) = -9x^3 + 6x^2 – 4 27x2+12x-27x^2 + 12x
11. f(x)=11x64x4+7x32x2+9f(x) = 11x^6 – 4x^4 + 7x^3 – 2x^2 + 9 66x516x3+21x24x66x^5 – 16x^3 + 21x^2 – 4x
12. f(x)=3x5+8x35x212x+16f(x) = 3x^5 + 8x^3 – 5x^2 – 12x + 16 15x4+24x210x1215x^4 + 24x^2 – 10x – 12
13. f(x)=6x4+14x2+9x37x1f(x) = -6x^4 + 14x^2 + 9x^3 – 7x – 1 24x3+27x2+28x7-24x^3 + 27x^2 + 28x – 7
14. f(x)=2x710x5+4x43x+8f(x) = 2x^7 – 10x^5 + 4x^4 – 3x + 8 14x650x4+16x3314x^6 – 50x^4 + 16x^3 – 3
15. f(x)=4x3+11x46x+13x29f(x) = -4x^3 + 11x^4 – 6x + 13x^2 – 9 12x2+44x3+26x6-12x^2 + 44x^3 + 26x – 6
16. f(x)=7x6+3x8x5+2x214f(x) = 7x^6 + 3x – 8x^5 + 2x^2 – 14 42x540x4+4x+642x^5 – 40x^4 + 4x + 6
17. f(x)=9x52x6+7x3+58xf(x) = 9x^5 – 2x^6 + 7x^3 + 5 – 8x 12x5+45x4+21x8-12x^5 + 45x^4 + 21x – 8
18. f(x)=13x47x2+4x510x3+6f(x) = 13x^4 – 7x^2 + 4x^5 – 10x^3 + 6 20x4+52x330x214x20x^4 + 52x^3 – 30x^2 – 14x
19. f(x)=5x7+8x3x6+12x24x4f(x) = 5x^7 + 8x – 3x^6 + 12x^2 – 4x^4 35x618x516x3+24x+835x^6 – 18x^5 – 16x^3 + 24x + 8
20. f(x)=16x85x6+9x411x3+7x22x+13f(x) = 16x^8 – 5x^6 + 9x^4 – 11x^3 + 7x^2 – 2x + 13 128x730x5+36x333x2+14x2128x^7 – 30x^5 + 36x^3 – 33x^2 + 14x – 2
21. f(x)=8x5+14x73x4+6x2+10x39x+1f(x) = -8x^5 + 14x^7 – 3x^4 + 6x^2 + 10x^3 – 9x + 1 98x640x412x3+12x2+30x998x^6 – 40x^4 – 12x^3 + 12x^2 + 30x – 9
22. f(x)=4x9+7x312x6+15x52x4+8x11f(x) = 4x^9 + 7x^3 – 12x^6 + 15x^5 – 2x^4 + 8x – 11 36x8+75x472x58x2+21x+836x^8 + 75x^4 – 72x^5 – 8x^2 + 21x + 8
23. f(x)=11x69x8+5x2+13x74x56x+20f(x) = 11x^6 – 9x^8 + 5x^2 + 13x^7 – 4x^5 – 6x + 20 72x7+91x6+66x520x4+10x6-72x^7 + 91x^6 + 66x^5 – 20x^4 + 10x – 6
24. f(x)=2x107x4+3x98x2+12x65x3+14f(x) = 2x^{10} – 7x^4 + 3x^9 – 8x^2 + 12x^6 – 5x^3 + 14 20x9+27x8+72x528x316x15x220x^9 + 27x^8 + 72x^5 – 28x^3 – 16x – 15x^2

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