Use the definition of a derivative to find f'(x) and f"(x). f(x) = 3x2 + 2x + 2 f'(x) = f"(x) = Graph f, f', and f" on a common screen and check to see if your answers are reasonable. We see from the graph that our answers ---Select--- reasonable because the graph of f' is that of ---Select--- O function and the graph of f" is that of a ---Select--- function.

Q: Differentiate the function.

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Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: f (x) = 3 · 5" + e 4x²+7¤

A: We have to find derivative

Q: Calculate the second and third derivatives. y = 7x² - 7x² + 9x

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Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

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Q: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: Find the second derivative of the implicitly defined function x2+y2=R2 (canonical equation of a…

A: Given function is Differentiating both sides with respect to x, we get