1. Estimate the slope of the tangent line to the curve below when z = -1, when z = 0, and when z = 2. (-1,-1) 2. Use the limit definition of the derivative to compute the equation of the tangent line to 1 y= when z = 2. x² + 3x 3. Use the limit definition of the derivative to compute the derivative of f(x) = (2x+3)³/2. Look to simplify your answer at the end by canceling common factors.

Q: O Find the derivative for the function f(x): = 5 x

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Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: 8 Find the derivative of: 2/x + x3 Type your answer without fractional or negative exponents. Use…

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Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: Evaluate the derivatives of the given function for the given value of x. Check your results using…

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Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: . Find the derivative. Hint: simplify before differentia 1 а. у — (4x)3 Gac3 122 2a4 L 1

A: Since multiple questions are asked I am answering first

Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: 5-x. Calculate the derivative of y with re

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Q: 4. The graph below shows the tangent line to function f(x) at x=A (blue), and the secant line…

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Q: 3. y = Varcsin(1-x²)

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Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

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