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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
(
4
x
)
Basic
algebra
trigonometry
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matrices
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Evaluate
4
4
View solution steps
Steps Using Definition of a Derivative
\frac { d } { d x } ( 4 x )
d
x
d
(
4
x
)
The derivative of ax^{n} is nax^{n-1}.
The derivative of
a
x
n
is
n
a
x
n
−
1
.
4x^{1-1}
4
x
1
−
1
Subtract 1 from 1.
Subtract
1
from
1
.
4x^{0}
4
x
0
For any term t except 0, t^{0}=1.
For any term
t
except
0
,
t
0
=
1
.
4\times 1
4
×
1
For any term t, t\times 1=t and 1t=t.
For any term
t
,
t
×
1
=
t
and
1
t
=
t
.
4
4
Differentiate w.r.t. x
0
0
Quiz
Differentiation
\frac { d } { d x } ( 4 x )
d
x
d
(
4
x
)
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4x^{1-1}
The derivative of ax^{n} is nax^{n-1}.
4x^{0}
Subtract 1 from 1.
4\times 1
For any term t except 0, t^{0}=1.
4
For any term t, t\times 1=t and 1t=t.
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