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Mean
Mode
Greatest Common Factor
Least Common Multiple
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Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
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Trigonometry
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12x
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Steps Using Definition of a Derivative
\frac { d } { d x } ( 6 x ^ 2 )
The derivative of ax^{n} is nax^{n-1}.
2\times 6x^{2-1}
Multiply 2 times 6.
12x^{2-1}
Subtract 1 from 2.
12x^{1}
For any term t, t^{1}=t.
12x
Differentiate w.r.t. x
12
Quiz
Differentiation
5 problems similar to:
\frac { d } { d x } ( 6 x ^ 2 )
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Let g(x)=x^3, then f(x^3)=f(g(x)). Then use the chain rule (f(g(x)))' = f'(g(x))g'(x) So we just need f'(x) and g'(x). f'(x) = 3x^2 and g'(x) = 3x^2 as well (because f and g ...
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2\times 6x^{2-1}
The derivative of ax^{n} is nax^{n-1}.
12x^{2-1}
Multiply 2 times 6.
12x^{1}
Subtract 1 from 2.
12x
For any term t, t^{1}=t.
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