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Calculus Applications: Derivatives, Integrals, and Concavity Analysis

Use Part 1 of the Fundamental Theorem of Calculus to find derivatives, evaluate integrals, and determine intervals of concavity for given functions. Enhance your calculus skills with step-by-step solutions.

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Calculus Applications: Derivatives, Integrals, and Concavity Analysis

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  1. 1. 2. 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} • {image} • {image} • {image}

  2. 1. 2. 3. 4. Evaluate the integral. {image} • {image} • {image} • {image} • {image}

  3. 1. 2. 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. {image} • {image} • {image} • {image}

  4. 1. 2. 3. Find the interval on which the curve {image} is concave upward. • {image} • {image} • {image}

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