Mr Daniels Maths
Functions Inverse

Set 1

Set 2

Set 3

Q1) g(x) =x + 2. Find g'(x). [ g'(x) = x -2]

Q1) g(x) = 4 x -8. Find g'(x). [ \(g'(x) \)= \({x +8}\over4\)]

Q1) h(x) =\( 3 x^ 3 + 6\). Find h'(x). [ h'(x)= \( \sqrt[3]{{x -6}\over 3} \)]

Q2) \(g(x) =8{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over8\)]

Q2) g(x) = 9 x + 9. Find g'(x). [ \(g'(x) \)= \({x -9}\over9\)]

Q2) f(x) =\(x^ 2 -6\). Find f'(x). [ f'(x)= \( \sqrt[2]{x +6} \)]

Q3) \(h(x) =2{x}. \) Find \(h'(x).\) [ \(h'(x)\) = \(x\over2\)]

Q3) g(x) = \(x\over 9\) -9. Find g'(x). [ \(g'(x) \)= \(9(x +9)\)]

Q3) g(x) =\( 4 x^ 3 -2\). Find g'(x). [ g'(x)= \( \sqrt[3]{{x +2}\over 4} \)]

Q4) h(x) =x -6. Find h'(x). [ h'(x) = x +6]

Q4) h(x) = 8 x + 2. Find h'(x). [ \(h'(x) \)= \({x -2}\over8\)]

Q4) f(x) =\( 9 x^ 3 + 9\). Find f'(x). [ f'(x)= \( \sqrt[3]{{x -9}\over 9} \)]

Q5) g(x) =x + 4. Find g'(x). [ g'(x) = x -4]

Q5) f(x) = \(x\over 2\) -5. Find f'(x). [ \(f'(x) \)= \(2(x +5)\)]

Q5) h(x) =\(x^ 3 -3\). Find h'(x). [ h'(x)= \( \sqrt[3]{x +3} \)]

Q6) f(x) =x -10. Find f'(x). [ f'(x) = x +10]

Q6) f(x) = \(x\over 6\) -2. Find f'(x). [ \(f'(x) \)= \(6(x +2)\)]

Q6) f(x) =\(x^ 2 -7\). Find f'(x). [ f'(x)= \( \sqrt[2]{x +7} \)]

Q7) g(x) =x + 6. Find g'(x). [ g'(x) = x -6]

Q7) f(x) = 9 x -5. Find f'(x). [ \(f'(x) \)= \({x +5}\over9\)]

Q7) h(x) =\(x^ 2 -4\). Find h'(x). [ h'(x)= \( \sqrt[2]{x +4} \)]

Q8) \(g(x) =2{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over2\)]

Q8) h(x) = 5 x -7. Find h'(x). [ \(h'(x) \)= \({x +7}\over5\)]

Q8) h(x) =\(x^ 3 -10\). Find h'(x). [ h'(x)= \( \sqrt[3]{x +10} \)]

Q9) \(g(x) =10{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over10\)]

Q9) f(x) = \(x\over 7\) -6. Find f'(x). [ \(f'(x) \)= \(7(x +6)\)]

Q9) h(x) =\(x^ 3 + 6\). Find h'(x). [ h'(x)= \( \sqrt[3]{x -6} \)]

Q10) \(f(x) =10{x}. \) Find \(f'(x).\) [ \(f'(x)\) = \(x\over10\)]

Q10) f(x) = \(x\over 4\) + 6. Find f'(x). [ \(f'(x) \)= \(4(x -6)\)]

Q10) f(x) =\( 4 x^ 3 -9\). Find f'(x). [ f'(x)= \( \sqrt[3]{{x +9}\over 4} \)]