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Ernie1
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Determine an expression for f(x) =(1+x)(1+2x)(1+3x)…(1 +nx),find f⸍(0) .
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MHB Determine an expression using binomial theorem
- Thread starter Ernie1
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To determine the expression for f(x) = (1+x)(1+2x)(1+3x)…(1+nx) and find f'(0), focus on identifying the coefficient of x in the polynomial. The derivative at zero, f'(0), corresponds to the coefficient of x, which is a key insight for simplification. By applying the binomial theorem, the expansion can be analyzed to extract this coefficient effectively. Understanding the structure of the polynomial is essential for calculating f'(0). This approach streamlines the process of finding the desired derivative.
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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