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Write a VBA-Excel program that calculates the analytical derivate of a function. Your program should be able to handle the following types of equations:
(a) Polynomial equations up to fourth order (i.e. ax4 + bx3 + cx2 + dx + e)
(b) Exponentials (i.e. aebx )
Your program should ask the user for which type of equation they want to enter (polynomial,exponential or natural logarithmic) and then ask the user to enter all constants.
Use a loop and an array to store the coefficients for the polynomial equation. Next, the program should calculate the analytical derivative of the equation (see equations below). Finally, the program should output results either to an Excel worksheet or using MsgBox.
d/dx(axb) = (b * a) * xb-1
d/dx(aebx) = aebx * b
Note: a, b are constants, x is a variable.
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