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# Find the derivative of $\left(-11\sec\left(x\right)\right)^2$

## Step-by-step Solution

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###  Videos

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

Problem to solve:

$\frac{d}{dx}\left(\left(-11\sec\left(x\right)\right)^2\right)$

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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 differential calculus problems step by step online.

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

Learn how to solve differential calculus problems step by step online. Find the derivative of (-11sec(x))^2. The power of a product is equal to the product of it's factors raised to the same power. The derivative of a function multiplied by a constant (121) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of secant function: \frac{d}{dx}\left(\sec(x)\right)=\sec(x)\cdot\tan(x)\cdot D_x(x).

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

##  Explore different ways to solve this problem

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

SnapXam A2

Go!
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

### Main topic:

Differential Calculus

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