SOLUTION: . Find the derivatives of the following functions, where a, b, c are constants: 1. f(x) = cos( a√x +b/√x) 2. h(x) = loge(ax^2 + bx + c); 3.(c) g(x) = x^2e^(x^2+

Algebra ->  Average -> SOLUTION: . Find the derivatives of the following functions, where a, b, c are constants: 1. f(x) = cos( a√x +b/√x) 2. h(x) = loge(ax^2 + bx + c); 3.(c) g(x) = x^2e^(x^2+      Log On


   



Question 1099285: . Find the derivatives of the following functions, where a, b, c are constants:
1. f(x) = cos( a√x +b/√x)
2. h(x) = loge(ax^2 + bx + c);
3.(c) g(x) = x^2e^(x^2+x^2−5)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
. Find the derivatives of the following functions, where a, b, c are constants:
1. f(x) = cos( a√x +b/√x)
IDK what that symbol is.
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2. h(x) = loge(ax^2 + bx + c)
h(x) = ln(ax^2 + bx + c)
h'(x) = (1/(ax^2 + bx + c))*(2ax + b)
h'(x) = (2ax+b)/(ax^2 + bx + c)
======================
3.(c) g(x) = x^2e^(x^2+x^2-5)
g(x) = x^2e^(2x^2-5)
g'(x) = 2x*e^(2x^2-5) + x^2*e^(2x^2-5)*4x
g'(x) = 2x%2Ae%5E%282x%5E2-5%29+%2B+4x%5E3%2Ae%5E%282x%5E2-5%29