Mr Daniels Maths
Functions Inverse

Set 1

Set 2

Set 3

Q1) h(x) =x -3. Find h'(x). [ h'(x) = x +3]

Q1) f(x) = 7 x -2. Find f'(x). [ \(f'(x) \)= \({x +2}\over7\)]

Q1) g(x) =\( 9 x^ 3 -10\). Find g'(x). [ g'(x)= \( \sqrt[3]{{x +10}\over 9} \)]

Q2) f(x) =x + 8. Find f'(x). [ f'(x) = x -8]

Q2) g(x) = 10 x -2. Find g'(x). [ \(g'(x) \)= \({x +2}\over10\)]

Q2) g(x) =\( 9 x^ 2 + 4\). Find g'(x). [ g'(x)= \( \sqrt[2]{{x -4}\over 9} \)]

Q3) f(x) =x -10. Find f'(x). [ f'(x) = x +10]

Q3) f(x) = x -3. Find f'(x). [ \(f'(x) \)= \({x +3}\over1\)]

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

Q4) \(g(x) =8{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over8\)]

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

Q4) g(x) =\( 2 x^ 2 + 8\). Find g'(x). [ g'(x)= \( \sqrt[2]{{x -8}\over 2} \)]

Q5) \(f(x) =5{x}. \) Find \(f'(x).\) [ \(f'(x)\) = \(x\over5\)]

Q5) f(x) = x + 5. Find f'(x). [ \(f'(x) \)= \({x -5}\over1\)]

Q5) g(x) =\(x^ 2 + 3\). Find g'(x). [ g'(x)= \( \sqrt[2]{x -3} \)]

Q6) \(h(x) =4{x}. \) Find \(h'(x).\) [ \(h'(x)\) = \(x\over4\)]

Q6) g(x) = 3 x + 6. Find g'(x). [ \(g'(x) \)= \({x -6}\over3\)]

Q6) h(x) =\(x^ 3 + 5\). Find h'(x). [ h'(x)= \( \sqrt[3]{x -5} \)]

Q7) f(x) =x + 10. Find f'(x). [ f'(x) = x -10]

Q7) h(x) = \(x\over 5\) -3. Find h'(x). [ \(h'(x) \)= \(5(x +3)\)]

Q7) g(x) =\(x^ 3 + 6\). Find g'(x). [ g'(x)= \( \sqrt[3]{x -6} \)]

Q8) g(x) =x -4. Find g'(x). [ g'(x) = x +4]

Q8) h(x) = 3 x + 8. Find h'(x). [ \(h'(x) \)= \({x -8}\over3\)]

Q8) g(x) =\( 5 x^ 2 + 6\). Find g'(x). [ g'(x)= \( \sqrt[2]{{x -6}\over 5} \)]

Q9) h(x) =x + 5. Find h'(x). [ h'(x) = x -5]

Q9) h(x) = 3 x -4. Find h'(x). [ \(h'(x) \)= \({x +4}\over3\)]

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

Q10) \(h(x) =8{x}. \) Find \(h'(x).\) [ \(h'(x)\) = \(x\over8\)]

Q10) h(x) = \(x\over 9\) + 3. Find h'(x). [ \(h'(x) \)= \(9(x -3)\)]

Q10) h(x) =\( 7 x^ 2 -3\). Find h'(x). [ h'(x)= \( \sqrt[2]{{x +3}\over 7} \)]