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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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Evaluate
12x
$12x$
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Steps Using Definition of a Derivative
\frac { d } { d x } ( 6 x ^ 2 )
$dxd (6x_{2})$
The derivative of ax^{n} is nax^{n-1}.
The derivative of
$ax_{n}$
is
$nax_{n−1}$
.
2\times 6x^{2-1}
$2×6x_{2−1}$
Multiply 2 times 6.
Multiply
$2$
times
$6$
.
12x^{2-1}
$12x_{2−1}$
Subtract 1 from 2.
Subtract
$1$
from
$2$
.
12x^{1}
$12x_{1}$
For any term t, t^{1}=t.
For any term
$t$
,
$t_{1}=t$
.
12x
$12x$
Differentiate w.r.t. x
12
$12$
Graph
Quiz
Differentiation
5 problems similar to:
\frac { d } { d x } ( 6 x ^ 2 )
$dxd (6x_{2})$
Similar Problems from Web Search
What is \frac{d}{dx}(2x)^2?
What is
$dxd (2x)_{2}$
?
https://www.quora.com/What-is-frac-d-dx-2x-2
d/dx ((2x)^2) =d/dx (4x^2) =4 d/dx ( x^2) =4 * 2 * (x ^ (2-1)) =8x
d/dx ((2x)^2) =d/dx (4x^2) =4 d/dx ( x^2) =4 * 2 * (x ^ (2-1)) =8x
How to get derivative of \frac{d}{dX}(X^TX) and \frac{d}{dX}(XX^T)
How to get derivative of
$dXd (X_{T}X)$
and
$dXd (XX_{T})$
https://math.stackexchange.com/q/2714787
For matrix-valued functions I like to express derivatives in terms of the differential. If \delta X is a variation of X, then d\left[X^TX\right](\delta X) = \delta X^TX + X^T\delta X, where by ...
For matrix-valued functions I like to express derivatives in terms of the differential. If
$δX$
is a variation of
$X$
, then
$d[X_{T}X](δX)=δX_{T}X+X_{T}δX,$
where by ...
Question about implicit differentiation and y derivative [duplicate]
Question about implicit differentiation and y derivative [duplicate]
https://math.stackexchange.com/questions/2047126/question-about-implicit-differentiation-and-y-derivative
The problem is that y is a function of x, that is y=y(x). Using the chain rule you can compute \begin{equation} \frac{d(y^2(x))}{dx} = 2y \frac{dy}{dx} \end{equation} You should read the chain ...
The problem is that
$y$
is a function of
$x$
, that is
$y=y(x)$
. Using the chain rule you can compute \begin{equation} \frac{d(y^2(x))}{dx} = 2y \frac{dy}{dx} \end{equation} You should read the chain ...
A derivative of an integral. Homework doubt
A derivative of an integral. Homework doubt
https://math.stackexchange.com/questions/468655/a-derivative-of-an-integral-homework-doubt
I think you're being asked to know the following fact. Let f be any reasonably nice function — smooth is plenty good enough. Then \frac{\mathrm d}{\mathrm d x} \int_0^x f(t)\,\mathrm d t = f(x). ...
I think you're being asked to know the following fact. Let
$f$
be any reasonably nice function — smooth is plenty good enough. Then
$dxd ∫_{0}f(t)dt=f(x).$
...
Extrapolating properties of rational numbers to irrational/transcendental numbers
Extrapolating properties of rational numbers to irrational/transcendental numbers
https://math.stackexchange.com/questions/51369/extrapolating-properties-of-rational-numbers-to-irrational-transcendental-number
The type of argument you describe is a big motivation for the definition of a continuous function . A basic result which captures the spirit of what you want is this: a continuous function f : X \to Y ...
The type of argument you describe is a big motivation for the definition of a continuous function . A basic result which captures the spirit of what you want is this: a continuous function
$f:X→Y$
...
Derivative Notation Including Chain Rule
Derivative Notation Including Chain Rule
https://math.stackexchange.com/questions/1494555/derivative-notation-including-chain-rule/1494559
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 ...
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.
Similar Problems
\frac { d } { d x } ( 2 )
$dxd (2)$
\frac { d } { d x } ( 4 x )
$dxd (4x)$
\frac { d } { d x } ( 6 x ^ 2 )
$dxd (6x_{2})$
\frac { d } { d x } ( 3x+7 )
$dxd (3x+7)$
\frac { d } { d a } ( 6a ( a -2) )
$dad (6a(a−2))$
\frac { d } { d z } ( \frac{z+3}{2z-4} )
$dzd (2z−4z+3 )$
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