Derivative of a Function Example

Let's explore a problem involving two functions, f and g, and their derivatives at specific points. Our goal is to find the derivative of a new function, h(x), which is a combination of these functions: 3f(x)+2g(x). By applying basic derivative rules, we determine the derivative—and thus the slope of the tangent line—of h(x) at x = 9.

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$Answered: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 44. } f(x)=8 x+\frac{3}{x^{2}} | bartleby$

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$Answered: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 44. } f(x)=8 x+\frac{3}{x^{2}} | bartleby$

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