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Lesson 1 – Rate of Change and Differentiation Rules — Picture questions (exam style)

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1.
f(x) = x 2 a⋅ℯ + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) =    x      2
a⋅ℯ  + b⋅x  with constants a, b satisfies the two conditions shown. Which option is correct?
a = 1, b = 2
a = 2, b = 2
a = 2, b = -2
a = 1, b = -2
2.
f(x) = 3 a⋅x + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) =    3      
a⋅x  + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
a = -1, b = -1
a = -1, b = 1
a = -1, b = -2
a = 0, b = -2
3.
f(x) = a⋅sin(x) + b⋅cos(x) with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) = a⋅sin(x) + b⋅cos(x) with constants a, b satisfies the two conditions shown. Which option is correct?
a = -3, b = -4
a = -2, b = 3
a = -3, b = 3
a = -3, b = -3
4.
f(x) = 3 a⋅x + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) =    3      
a⋅x  + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
a = -4, b = 4
a = 4, b = -2
a = -4, b = 2
a = 4, b = -3
5.
f(x) = x 2 a⋅ℯ + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) =    x      2
a⋅ℯ  + b⋅x  with constants a, b satisfies the two conditions shown. Which option is correct?
a = 2, b = -2
a = 2, b = 2
a = -2, b = -2
a = -1, b = -3
6.
f(x) = x 2 a⋅ℯ + b⋅x with constants a, b satisfies the two conditions shown. Which option is correct?
f(x) =    x      2
a⋅ℯ  + b⋅x  with constants a, b satisfies the two conditions shown. Which option is correct?
a = 2, b = -2
a = -2, b = 4
a = -2, b = -4
a = 2, b = 4
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