Question

For what value of x is derivative of x^3 equal to derivative of x^2+x

Answer 1

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→ Question : ←  For what value of x is derivative of x³ equal to derivative of x²+x

     

→ Answer: ←

$x=1 , x=\frac{-1}{3}$

→ Step-by-step explanation: ←

→ According to given conditions, ←

$\frac{d}{dx}(x^{3} )= \frac{d}{dx}(x^{2} +x)\\\\=> 3x^{2}=2x+1\\\\=> 3x^2-2x-1=0\\\\=>3x^2-3x+x-1=0\\\\=>3x(x-1)+1(x-1)=0\\\\=>(x-1)(3x+1)=0\\\\=>x=1 , x=\frac{-1}{3}$

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