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Differentiate the function

+3 votes
f(x)=x^5+5^x
asked Feb 23, 2013 in CALCULUS by angel12 Scholar

1 Answer

+3 votes

f(x) = x5 + 5x

Apply 'derivative with respect to x' each side.

f'(x) = (d/dx)[x5 + 5x]

f'(x) = (d/dx)x5 + (d/dx)5x

Power Rule of Derivative: (d/dx)xn = nxn-1

And Derivative of Exponential Functions: (d/dx)(ax) = axlog(a)

f'(x) = 5x5-1 + 5xlog(5)

f'(x) = 5x4 + 5xlog(5)

Therefore the derivative of f(x) is 5x4 + 5xlog(5).

answered Feb 23, 2013 by richardson Scholar

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