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How to Differentiate Number Raised to Power of x?
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How to differentiate something raised to the power of x? We can first apply the logarithmic rule to take the x down from the exponent. Then, we apply implicit differentiation by taking the derivative on every term with respect to x, and solve for dy/dx. Substitute the original function into 'y' and we got the final answer.
0:00 Logarithmic Rule
0:22 Taking Natural Log on Both Sides
0:33 Applying Implicit Differentiation
0:54 Solve for dy/dx
1:08 Substitute function y into equation
0:00 Logarithmic Rule
0:22 Taking Natural Log on Both Sides
0:33 Applying Implicit Differentiation
0:54 Solve for dy/dx
1:08 Substitute function y into equation
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How to Differentiate Number Raised to Power of x?
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