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Find an anti derivative (or integral) of the following functions by the method of inspection.`e^(2x)`

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To find an antiderivative (or integral) of the function \( e^{2x} \) using the method of inspection, we can follow these steps: ### Step 1: Identify the function and its derivative We start with the function \( e^{2x} \). We know that the derivative of \( e^{kx} \) (where \( k \) is a constant) is given by: \[ \frac{d}{dx}(e^{kx}) = k e^{kx} \] For our function, \( k = 2 \), so: ...
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Knowledge Check

  • Find the derivatives of each of the following functions : f(x)=8x^(4)

    A
    `30x^(2)`
    B
    `32x^(3)`
    C
    `32 x`
    D
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