Mr Daniels Maths
Functions Inverse

Set 1

Set 2

Set 3

Q1) \(h(x) =7{x}. \) Find \(h'(x).\) [ \(h'(x)\) = \(x\over7\)]

Q1) f(x) = \(x\over 3\) -10. Find f'(x). [ \(f'(x) \)= \(3(x +10)\)]

Q1) g(x) =\(x^ 2 + 6\). Find g'(x). [ g'(x)= \( \sqrt[2]{x -6} \)]

Q2) f(x) =x -5. Find f'(x). [ f'(x) = x +5]

Q2) h(x) = 3 x -2. Find h'(x). [ \(h'(x) \)= \({x +2}\over3\)]

Q2) h(x) =\( 6 x^ 2 + 8\). Find h'(x). [ h'(x)= \( \sqrt[2]{{x -8}\over 6} \)]

Q3) \(g(x) =3{x}. \) Find \(g'(x).\) [ \(g'(x)\) = \(x\over3\)]

Q3) f(x) = \(x\over 10\) + 2. Find f'(x). [ \(f'(x) \)= \(10(x -2)\)]

Q3) h(x) =\( 6 x^ 2 -2\). Find h'(x). [ h'(x)= \( \sqrt[2]{{x +2}\over 6} \)]

Q4) g(x) =x + 3. Find g'(x). [ g'(x) = x -3]

Q4) h(x) = \(x\over 8\) + 9. Find h'(x). [ \(h'(x) \)= \(8(x -9)\)]

Q4) g(x) =\(x^ 2 -7\). Find g'(x). [ g'(x)= \( \sqrt[2]{x +7} \)]

Q5) f(x) =x + 3. Find f'(x). [ f'(x) = x -3]

Q5) h(x) = \(x\over 3\) + 3. Find h'(x). [ \(h'(x) \)= \(3(x -3)\)]

Q5) f(x) =\( 5 x^ 3 -4\). Find f'(x). [ f'(x)= \( \sqrt[3]{{x +4}\over 5} \)]

Q6) g(x) =x -4. Find g'(x). [ g'(x) = x +4]

Q6) f(x) = \(x\over 3\) -8. Find f'(x). [ \(f'(x) \)= \(3(x +8)\)]

Q6) f(x) =\( 9 x^ 3 -9\). Find f'(x). [ f'(x)= \( \sqrt[3]{{x +9}\over 9} \)]

Q7) f(x) =x + 9. Find f'(x). [ f'(x) = x -9]

Q7) g(x) = \(x\over 9\) + 6. Find g'(x). [ \(g'(x) \)= \(9(x -6)\)]

Q7) f(x) =\(x^ 3 -10\). Find f'(x). [ f'(x)= \( \sqrt[3]{x +10} \)]

Q8) g(x) =x + 2. Find g'(x). [ g'(x) = x -2]

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

Q8) h(x) =\( 8 x^ 3 + 2\). Find h'(x). [ h'(x)= \( \sqrt[3]{{x -2}\over 8} \)]

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

Q9) f(x) = \(x\over 6\) + 9. Find f'(x). [ \(f'(x) \)= \(6(x -9)\)]

Q9) h(x) =\( 8 x^ 3 -10\). Find h'(x). [ h'(x)= \( \sqrt[3]{{x +10}\over 8} \)]

Q10) f(x) =x -8. Find f'(x). [ f'(x) = x +8]

Q10) g(x) = \(x\over 9\) -4. Find g'(x). [ \(g'(x) \)= \(9(x +4)\)]

Q10) f(x) =\(x^ 2 + 10\). Find f'(x). [ f'(x)= \( \sqrt[2]{x -10} \)]