Question

(x + 3)^{2} .(x + 4)^{3} .(x + 5)^{4} प्रदत्त फलनों का x के सापेक्ष अवकलन कीजिए

Answer 1

Answer:

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Answer 2

dy/dx =(x + 3)(x + 4)²(x + 5)³ ( 9x² + 70x + 133)  यदि y = (x + 3)² * (x + 4)³  * (x + 5)⁴

Step-by-step explanation:

dy/dx ज्ञात कीजिए

y = (x + 3)² * (x + 4)³  * (x + 5)⁴

dy/dx  =  (x + 3)² * (x + 4)³ d  (x + 5)⁴/dx  +  (x + 3)²  * (x + 5)⁴*  d(x + 4)³/dx  +  (x + 4)³  * (x + 5)⁴ d  (x + 3)²/dx

=> dy/dx  = (x + 3)² * (x + 4)³ * 4(x + 5)³  + (x + 3)²  * (x + 5)⁴ * 3(x + 4)²  +  (x + 4)³  * (x + 5)⁴ * 2 (x + 3)

=> dy/dx =  4 (x + 3)²(x + 4)³(x + 5)³  + 3 (x + 3)² (x + 4)²  (x + 5)⁴  + 2(x + 3)  (x + 4)³ (x + 5)⁴

=>  dy/dx = (x + 3)(x + 4)²(x + 5)³(4(x + 3)(x + 4)  + 3(x + 3)(x + 5) + 2(x + 4)(x + 5)

=>   dy/dx =(x + 3)(x + 4)²(x + 5)³ ( 4x² + 28x + 48 + 3x² + 24x + 45 + 2x² + 18x + 40)

=> dy/dx =(x + 3)(x + 4)²(x + 5)³ ( 9x² + 70x + 133)

और अधिक जानें :

sin(x²+5)"

brainly.in/question/15286193

sin (ax+b) फलन का अवकलन कीजिए

brainly.in/question/15286166