Fill in the blanks: Answer only no need explanation. 1. The derivative of a constant ______ 2. The most widely used trigonometric functions in modern mathematics are the ______ , the _______ , and the ______ . Their reciprocals are the cosecant, the secant, and the cotangent, respectively. 3. The derivative of a product of two functions is the first function times the ______ of the second plus the second function times derivative of the first.

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Q: ne hundredth derivative of p (x) (x + x³ + x')1º (1 + x² )11 (x³ + + x Justify ya

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Q: Given the function f(x) = (x + 1)(x- 2). Find the interval where f(x) is increasing and decreasing.

A: The solution of question no 4 is given in the next step.

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Q: * Find dy for the following function: O In 2X e 4. - 23+ 1 |

A: Note: As per our guidelines, we are restricted to solve only one question. Please upload separately…

Q: Problem #2: Differentiate f(x) = [(3x* – 5)(2x³ + 9x – 6)] and solve f '(2).

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Q: Please

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