Question

Let ƒ be the function defined on R by: f(x)=-2x+5x-3 and C its representative curve in an orthonormal coordinate system. 1. Calculate its derivative f'(x) by specifying the set of real numbers x for which the calculation is valid. 2. Study the sign of f(x) according to the values of x. 3. Deduce the direction of va variation of the function f. Draw up the table of variation of f. 4. Determine the local extrema of f. 5. Frame f(x) as best as possible on the interval [0:] 6. Determine the equation of the tangent to the curve C at the point of abscissa 1.

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Hi,
Write well f(x).

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