2. From the definition of the derivative (definition 5.3), find the derivative for each of the following functions: (a) f(x)=6x (b) f(x)=12x-2 (c) f(x) = kx2 for k a constant Find the derivative of each implicit function, where dY/dX = F_X/F_Y, provided...
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y=9tanx a) Find dy b) Evaluate dy for x=π4 and dx=−0.1 Derivative: The derivative can be found by using the standard formula for the derivative after finding the derivative we will plug-in the value of dx and x in dy to get the result. Answer and Explanati...
A critical point of a function y = f(x) is a point (c, f(c)) on the graph of f(x) at which either the derivative is 0 (or) the derivative is not defined. Let us see how to find the critical points of a function by its definition and from a graph.
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The thing about math games, though, is that the real power is not in the game itself but in the debrief. Just the lesson before this was my students’ first exposure to the idea of higher order derivatives. They asked “But what does a second derivative actually tell us about the functi...
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Derivative of a Function | Definition, Formula & Examples Linearization of Functions 9:51 How to Estimate Function Values Using Linearization 10:50 Ch 17. Saxon Calculus: Derivative as a... Ch 18. Saxon Calculus: Second... Ch 19. Saxon Calculus: Applications of the... Ch 20. Saxon ...
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The value you get will be either a minimum or maximum value depending on whether the second derivative is positive or negative at the critical point. What is the maximum in a function? The maximum of a function is the highest value a function can output for any possible input. For a ...