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What is the graph of the derivative of y=10ˣ ?

A) Constant
B) Linear
C) Exponential
D) Logarithmic

User Bluemarble
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1 Answer

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Final answer:

The graph of the derivative of y=10ˣ is Exponential.

Step-by-step explanation:

The graph of the derivative of y=10ˣ is C) Exponential.

The derivative of a function represents the rate at which the function is changing at each point. In this case, the original function y=10ˣ is an exponential function, and its derivative will also be an exponential function.

The derivative of y=10ˣ is found using the power rule of differentiation, which states that if we have a function y=aˣ, then its derivative is y'=aˣ ln(a). For the function y=10ˣ, the derivative is y'=(10ˣ)(ln(10)), which is an exponential function.