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Topics
Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
Fractions
Mixed Fractions
Prime Factorization
Exponents
Radicals
Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
Evaluate Fractions
Linear Equations
Quadratic Equations
Inequalities
Systems of Equations
Matrices
Trigonometry
Simplify
Evaluate
Graphs
Solve Equations
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Derivatives
Integrals
Limits
Algebra Inputs
Trigonometry Inputs
Calculus Inputs
Matrix Inputs
d
x
d
(
6
x
2
)
Basic
algebra
trigonometry
calculus
statistics
matrices
Characters
Evaluate
12x
1
2
x
View solution steps
Steps Using Definition of a Derivative
\frac { d } { d x } ( 6 x ^ 2 )
d
x
d
(
6
x
2
)
The derivative of ax^{n} is nax^{n-1}.
The derivative of
a
x
n
is
n
a
x
n
−
1
.
2\times 6x^{2-1}
2
×
6
x
2
−
1
Multiply 2 times 6.
Multiply
2
times
6
.
12x^{2-1}
1
2
x
2
−
1
Subtract 1 from 2.
Subtract
1
from
2
.
12x^{1}
1
2
x
1
For any term t, t^{1}=t.
For any term
t
,
t
1
=
t
.
12x
1
2
x
Differentiate w.r.t. x
12
1
2
Quiz
Differentiation
\frac { d } { d x } ( 6 x ^ 2 )
d
x
d
(
6
x
2
)
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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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