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Find the derivative using the product rule $\frac{d}{dx}\left(\left(-11\sec\left(x\right)\right)^2\right)$

Step-by-step Solution

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Final Answer

$242\sec\left(x\right)^2\tan\left(x\right)$
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Step-by-step Solution

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The power of a product is equal to the product of it's factors raised to the same power

$\frac{d}{dx}\left(121\sec\left(x\right)^2\right)$

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

$\frac{d}{dx}\left(121\sec\left(x\right)^2\right)$

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Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx((-11sec(x))^2). The power of a product is equal to the product of it's factors raised to the same power. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=121 and g=\sec\left(x\right)^2. The derivative of the constant function (121) is equal to zero. Any expression multiplied by 0 is equal to 0.

Final Answer

$242\sec\left(x\right)^2\tan\left(x\right)$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of -11secx^2 using the quotient ruleFind derivative of -11secx^2 using logarithmic differentiationFind derivative of -11secx^2 using the definition

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Plotting: $242\sec\left(x\right)^2\tan\left(x\right)$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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:

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 $(f\cdot g)'=f'\cdot g+f\cdot g'$

Used Formulas

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