Question

t = x4 then dt = 4x3 dx = xdx​

Answer 1

Proving:

Step-by-step explanation:

$\ Given \ value:\\\\\ t = x^4 \\\\\ then \\\\dt = 4x^3 \ dx = x \ dx\\\\\ Solution:\\\\\ differentiation \ formula: \\\\x^n \ dx = n x^{n-1} \\\\\therefore\\t= x^4\\\\\ differentiation\\\\\frac{dt}{dx} = 4x^{4-1} \\\\\frac{dt}{dx} = 4x^{3} \\\\\ The \ differentiation \ of \ x^4 \ = \ 4x^{3} \\\\\ \ That's \ why \ given \ equation \ is \ true.$

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• Proving: https://brainly.in/question/16461742#