Chapter 4, Problem 32RE

answer the question in a grade 11 functions matter

Algebraically explain that cos(x+1) function is DIFFERENTIABLE everywhere over its domain. Appreciate

- 4 Desoribe the concavity oF the Function f(x) =sinx

PlZ answer the question in 20 mints plzzzzz

a-umja-lca So the function has symmetry only about y-axis. It is called an even function. 2. y= f(x)=x}

BO NUS 2. Are there points of inflection on the function fx) = 10x + 3. For the function fx) = x - 4x + 6, find the local extrema. Then, classify the local extrema using the second derivative test. BONUS

In Exercises 93-98, let f(x) = sin x, g(x) = cos x, and h(x) = 2x. Find the exact value of each expression. Do not use a calculator. 4 93. + fl 6 94. + 6. 6 17 95. (h º g) 3 97. the average rate of change of f from 37 X1 = to x2 = 2 98. the average rate of change of g from = Ix to x2 = T 4

What interval(s) is the function, 3x + 3x - 36 = f (x) %3D positive? 1. (- 00 ,-4) II. (-0.5, -36.75) II. (3, O I and III only Il only O l only O I, Il and III accounts pouoble