Chapter 3, Problem 18RE

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

How do I sketch the derivative of the graph above

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

How do I find this?

7-42 Find the derivative of the function.

Calculus

ACTIVITY 3: Think More! 1. Find the equations of the two tangent lines to f(x) = x2 that pass through the point (-1,3), a point not on the graph of f. (Hint: Sketch the scenario first.) **Use GeoGebra or Desmos graphing calculator for easier sketching of graphs.

In Exercises 73-78, find a function that has the given deriva- tive and value. In each case you can find the answer with an educated guess-and-check process. It may be helpful to do some preliminary algebra. 73. f'(x) = 3x° – 2x² + 4, ƒ(0) = 1 74. f'(x) = 7x? + 8x11 – 18, f(0) = -2 75. f'(x) = 1– 4x°, f(1) = 3 76. f'(x) = x(4 – 2x), f(0) = 0 77. f'(x) = (x* – 8)(1 – 3x³), f(0) = 2 78. f'(x) = (3x + 1)³, f(2) = 1 %3D

only part A and part B please