1. $f'(x) = 15x^4 - 15x^2$
2. $f'(x) = 2(x^3+2)^3(7x^3+4)$
3. $f'(x) = e^x(\sin(2x) + 2\cos(2x))$
4. $f'(x) = -2(4x^3-2x)^{-3}(12x^2-2)$
5. $f'(x) = -4\csc^2(x)\cot(x) + 4\sin(x)$
6. $f'(x) = \frac{2(1-x^2)}{(1+x^2)^2}$
7. $f'(x) = \frac{4x - 9}{x^4}$
8. $f'(x) = \frac{35}{2}x^{5/2}$
9. $f'(x) = \frac{4x^3 + 6x}{x^6}$
10. $f'(x) = \frac{15x}{\sqrt{3x^2-6}}$
11. $f'(x) = \frac{-60x^2}{(2x^3-1)^3}$
12. $f'(x) = 2x e^{2x}$
13. $f'(x) = \frac{2}{3\sqrt{1-4x^2}}$
14. $f'(x) = \frac{6(\tan^{-1}(2x))^2}{1+4x^2}$
15. $f'(x) = \frac{2x^{1/3}}{3} - \frac{2}{3x^{4/3}}$
16. $f'(x) = 2\sec^2(2x)$
17. $f'(x) = \frac{\sin(2x)}{\cos^2(x)} + 2\tan(x)\cos(2x)$
18. $f'(x) = \frac{2^x \ln(2)}{1+4^x}$
19. $f'(x) = 4\left(6x - \sqrt{x^2+1}\right)^3\left(6 - \frac{x}{\sqrt{x^2+1}}\right)$
20. $f'(x) = \frac{8x + 20x^3}{(4x^2 + 5x^4)\ln(3)}$
21. $f'(x) = 2\sec^2(x) + 2(2x+1)\sec^2(x)\tan(x)$
Parent Tip: Review the logic above to help your child master the concept of calculus worksheets.
