CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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- In Exercises 45–-74, compute the derivative using derivative rules that have been introduced so far. 45. y = tan (x² + 4x)arrow_forwardNov A variable V depends on a radius r via the relationship V = r3 = -; 3 r > 0. Find the stationary point (s) of V. Classify each stationary point using the second derivative test.arrow_forwardFind the derivatives of the functions f(x) = tan (x) and g(x) = sec“(x) respectively. What can be said about the difference f-g? Explain. Find the derivatives of the functions f(x) = tan (x) and g(x) = sec (x) respectively. f'(x)= g'(x) =D Enter your answer in the edit fields and then click Check Answer. Clear All part remainingarrow_forward
- What do we call the point at x = of the function f(x) = sinx? 2arrow_forward1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…arrow_forward2020 Find the derivative of h(x) = (x+ e)"zD Select one or more: U a. 2020(1 +e)2019 O b. (x + e*)201°(1 + e) c. (2020 + 2020e*)(1 + e)019 Od. 2020(1 + e*)arrow_forward
- Find the first and second derivatives of the function. Please write the answer in a box thank you!arrow_forwardWhat's the derivative of sin x ? sin x -COS X -sin x COS Xarrow_forwardO Option 3 O Option 2 Which of the following formulas must be used to find the derivative of (tan²«)? = sec Isec(u)] = sec(u)tan(u)arrow_forward
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