 # Differentiation rules

Instructions: answer the questions, check them carefully, and when you are sure they are all right, press submit. The number of correct answers will be displayed.

Question 1: If \$f(x) = ax^n\$, what is \$f′(x)\$?

Question 2: If \$f(x) = 3x^4 + 3\$, what is \$f′(x)\$?

Question 3: Differentiate \$√x\$

Question 4: Differentiate \$\$3/{√x}\$\$

Question 5: Differentiate \$\$f(x) = x^2 - 5/{x^3}\$\$

Question 6: What is the equation to the tangent of the curve \$f(x) = x^2 + 1\$?

Question 7: What is the differential of ln(\$a/b\$)?

Question 8: What is the differential of ln\$(x^3 - 2)\$?

Question 9: What is the differential of \$(x^3 - 2)^y\$?

Question 10: What is the differential of \${(x^3 - 2)}/{(x^2 + 2)}\$?

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