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Derivatives of bˣ / Derivatives of logarithms Quiz: printable

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Derivatives of bˣ / Derivatives of logarithms Quiz

Name: ______________________ Date: __________ Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/derivatives-of-b-over-derivatives-of-logarithms/quiz/

1
Find the derivative of 3^2x.
Answer: ____________________
2
Find the derivative of 5^3x.
Answer: ____________________
3
Find the derivative of 2^4x.
Answer: ____________________
4
Find the derivative of 10^2x.
Answer: ____________________
5
Find the derivative of log(5x + 1).
Answer: ____________________
6
Find the derivative of 2^x².
Answer: ____________________
7
Find the derivative of 3^{x² + 1}.
Answer: ____________________
8
Find the derivative of log_3(x² + 1).
Answer: ____________________
9
Find the derivative of log_2(x² + 4).
Answer: ____________________
10
Find the derivative of 4log_3(2x + 1).
Answer: ____________________

Answer key

2 × 3^2x ln 3
3 × 5^3x ln 5
4 × 2^4x ln 2
2 × 10^2x ln 10
5/((5x + 1) ln 10)
2x × 2^x² ln 2
2x × 3^{x² + 1} ln 3
2x/((x² + 1) ln 3)
2x/((x² + 4) ln 2)
8/((2x + 1) ln 3)

Every answer solved step by step: steplyclass.com/calculus-1/derivatives-of-b-over-derivatives-of-logarithms/quiz/answers/