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Find the derivative of the function defined below:
y = 6x^2 – sin(4x)
Choose the correct answer below:
dy/dx A = -6(4x^2 cos(4x) – 2x sin(4x))
dy/dx B = -6(4x^2 sin(4x) + 2x cos(4x))
dy/dx C = -6(4x cos(4x) + 2x sin(4x))
dy/dx D = -6(4x sin(4x) + 2x cos(4x))
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Transcript
So here we are given the function that is y equals to minus 6 x, raised to the power 2 multiplied by the sign of 4 x. So we have to find out its derivative, so derivative of the function is we can find out this derivative. So d y, divided by the dx, will be equal to d divided by the d x of minus 6 x, raised to the power 2 sine of 4 of x. So we can write it as we can differentiate it by the chain. Rule. So d y, divided by the d x, will be equals to minus 6 of x, raised to the power 2 t divided by the d x of sine of 4 x plus d, divided by the d x of minus 6 of xto. The power to sine of 4 x, so it’s the derivative dy divided by the d x, will be equals to minus 6 x, raised to the power…
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