derivatives math question

Question

Calculate the following derivatives. Assume that a, b and n are constants.

d/dx (a + bx + x^n) = ___________

d/dx (e^x + e^ax + e^ax+b) = _____________

Answer 1

d/dx (a + bx + x^n) = b +nx(n-1) This is definition of a derivative.

d/dx (e^x + e^ax + e^ax+b) = e^x + ae^(ax) + ae^(ax+b) This is chain rule. d/dx e^f(x) = f'(x)e^f(x)

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