Question

y =
7x2 + 11x +39) 3/2
then
find
dy/dx​

Answer 1

dy/dx = (3/2) * (14x  + 11) √(7x²  + 11x  + 39)

Step-by-step explanation:

y = (7x²  + 11x  + 39)^(3/2)

y = xⁿ

then dy/dx = nxⁿ⁻¹

dy/dx =  (3/2) (7x²  + 11x  + 39)^(3/2 - 1)  * (14x  + 11)

dy/dx = (3/2) * (14x  + 11) (7x²  + 11x  + 39)^(1/2)

=> dy/dx = (3/2) * (14x  + 11) √(7x²  + 11x  + 39)

dy/dx = (3/2) * (14x  + 11) √(7x²  + 11x  + 39)   if y = (7x²  + 11x  + 39)^(3/2)

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