Best Shortcuts of Derivatives

scienceLover10

The Top Ten

1 d/dx(a*x^b) = (b*a)*(x^(b-1))

What is this? I don't even

You'll learn about this if you take calculus, it's actually a lot simpler than it looks. - scienceLover10

2 d/dx(f(g(x))) = f'(g(x)) * g'(x)
3 d/dx(a*b^x) = (ln(b)*a) * (b^x)
4 d/dx(f(x)*g(x)) = f'(x)*g(x) + g'(x)*f(x))
5 d/dx(f(x)+g(x)) = f'(x) + g'(x)
6 d/dx(f(x)/g(x)) = ((f'(x)*g(x)) - (g'(x)*f(x)))  /  g(x)^2
7 d/dx(a*f(x)) = a * f'(x)
8 d/dx(tan(x)) = sec^2(x)
9 d/dx(sin(x)) = cos(x)
10 d/dx(cos(x)) = -sin(x)
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