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There are two possible solutions, substitution and using absolute value. Here, we will use absolute value method.By definition of square root we get: sqrt(x^2) = |x|. By definition of absolute value we ge...

f(x) = 7e^2x sin(3x) Chain rule: f(x) = uv → f'(x) = u'v + uv' u = 7e^2x u' = 14e^2x v = sin(3x) v' = 3cos(3x) f'(x) = 14e^2xsin(3x) + 7e^2x 3cos(3x) f'(x...

Dy/dx=3x²+7

To differentiate parametric equations we have to use the chain rule in a special way.
We know that the chain rule can be written as dy/dx = dy/dt * dt/dx, as both dts cancel. But if we have an equat...

z^2 = (5-3i) = 25 - 30i + 9i^2Since i^2 = -1 => z^2 = 16-30i