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Differentiate the following with respect...

Differentiate the following with respect of `x :(2x^2+1)(3x+2)`

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To differentiate the function \( f(x) = (2x^2 + 1)(3x + 2) \) with respect to \( x \), we can use the product rule of differentiation. The product rule states that if you have two functions \( u(x) \) and \( v(x) \), then the derivative of their product is given by: \[ \frac{d}{dx}[u \cdot v] = u'v + uv' \] ### Step-by-Step Solution: ...
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Knowledge Check

  • Differentiate the following with respect to x. (i) 4x^3 - 3x^2 +(4)/(x^2) -8

    A
    `12 x^3 - 6x -8x^(-3)`
    B
    `12 x^2 - 6x -8x^(-1)`
    C
    `12 x^2 - 4x -8x^(-3)`
    D
    `12 x^2 - 6x -8x^(-4)`

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