Question

Find Dy/Dx

y= 4√2X⁴+3/(3X²+5)^-4

Answer 1

Answer:

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Answer 2

Answer:

Let f(x) = 3x^4 + 2x^2 + 10

f(x+h) = 3(x^4 +4x^3 h + 6x^2 h^2 + 4xh^3 + h^4) +2(x^2 + 2xh + h^2) + 10

f(x+h) - f(x) = 12x^3 h + + 18x^2 h^2 + 12xh^3 + 3h^4) + 4xh +2h^2

(f(x+h)-f(x))/h = 12x^3 +18x^2 h + 12xh^2 +3h^3 +4x +2h

Take the limit of this last expression as h goes to 0. You get

f’(x) = 12x^3 + 4x