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magnifik
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Homework Statement
Compute the derivative:
d/dx log base 10 (x^3 + x^2)
Homework Equations
The Attempt at a Solution
(3x^2 + 2x)/(ln 10)(x^3 + x^2)
seems a little off.. not sure though
thanks for the help in advance! (:
The derivative of a logarithmic function is the slope of the tangent line at any given point on the function's graph. It represents the rate of change of the function at that point.
To find the derivative of a logarithmic function, you can use the power rule, which states that the derivative of logb(x) is 1/(xlnb).
The domain of the derivative of a logarithmic function is the same as the original function, which is all positive real numbers. The range, however, is all real numbers.
Yes, you can use the chain rule to find the derivative of a logarithmic function. For example, if the logarithmic function is logb(u), the derivative would be 1/(ulnb) * du/dx.
The derivative of a logarithmic function is used in many real-world applications, including finance, physics, and biology. In finance, it can be used to determine the growth rate of investments. In physics, it can be used to calculate the rate of radioactive decay. In biology, it can be used to model population growth.