Chapter 4, Problem 29RE

In Exercises 45–-74, compute the derivative using derivative rules that have been introduced so far. 45. y = tan (x² + 4x)

how would u solve this problem? pls ignore my work around the question.

Sketch a function where ?′(?) > 0  and ?′′(?) > 0 always and passes through the point (0,1).

Please do exercise 7 and 8 and please show work

Pls help ASAP

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

Pls help ASAP and pls make sure to answer full in detail

Part c) the exact fraction after multiplying out

In Exercises 17-18, differentiate the functions. Then find an equation of the tangent line at the indicated point on the graph of the function. 18. w = g(z) = 1 + V4 – z, (z, w) = (3, 2)