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Find the derivative using the product rule $x\left(x-7\right)=3x\left(x-3\right)-4x$

Step-by-step Solution

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Solution

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Final answer to the problem

$x\left(x-7\right)=3x^2-13x$
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Step-by-step Solution

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Solve the product $3x\left(x-3\right)$

$x\left(x-7\right)=3x\cdot x+3\cdot -3x-4x$

Learn how to solve product rule of differentiation problems step by step online.

$x\left(x-7\right)=3x\cdot x+3\cdot -3x-4x$

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Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule x(x+-7)=3x(x-3)-4x. Solve the product 3x\left(x-3\right). Multiply 3 times -3. When multiplying two powers that have the same base (x), you can add the exponents. Solve the product 3x\left(x-3\right).

Final answer to the problem

$x\left(x-7\right)=3x^2-13x$

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Function Plot

Plotting: $x\left(x-7\right)-3x\left(x-3\right)+4x$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Similar Problems Solved

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$\frac{d}{dx}\left(x\cdot x\cdot y\right)$

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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