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Calculating Derivative – An exponential function – Exercise 6361

Exercise

Find the derivative of the following function:

f(x)=2^{x^2-6x+5}

Final Answer


f'(x)=2^{x^2-6x+5}\cdot \ln 2\cdot (2x-6)

Solution

f(x)=2^{x^2-6x+5}

Using Derivative formulas and the chain rule and chain rule in Derivative Rules, we get the derivative:

f'(x)=2^{x^2-6x+5}\cdot \ln 2\cdot (2x-6)

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