Exercise
Find the derivative of the following function:
f(x)=x^5\cdot 5^x
Final Answer
Solution
f(x)=x^5\cdot 5^x
Using Derivative formulas and the multiplication rule in Derivative Rules, we get the derivative:
f'(x)=5x^4\cdot 5^x+x^5\cdot 5^x\ln 5=
One can simplify the derivative:
=5x^4\cdot 5^x(1+x\ln 5)
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