Find dy/dx, the rate of change of y w. r. t. a change in x , for following function:
y=(3x^2+5)/(e^x+1) .
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by using simple differentiation
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Hey there !!!!!!!
y=3x²+5/eˣ+1
dy/dx = (eˣ+1)(2*3x)-(3x²+5)(eˣ)/(eˣ+1)²
=(eˣ*6x+6x)-(3x²eˣ+5eˣ)/(eˣ+1)²
=(eˣ*6x+6x-3x²eˣ-5eˣ)/(eˣ²+2eˣ+1)
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Hope this helped you........
y=3x²+5/eˣ+1
dy/dx = (eˣ+1)(2*3x)-(3x²+5)(eˣ)/(eˣ+1)²
=(eˣ*6x+6x)-(3x²eˣ+5eˣ)/(eˣ+1)²
=(eˣ*6x+6x-3x²eˣ-5eˣ)/(eˣ²+2eˣ+1)
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Hope this helped you........
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