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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:

$\frac{d}{dx}\left(\left(11\left(-1\right)\cdot\sec\left(x\right)\right)^2\right)$

Specify the solving method

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$-22\sec\left(x\right)\frac{d}{dx}\left(-11\sec\left(x\right)\right)$

Learn how to solve differential calculus problems step by step online.

$-22\sec\left(x\right)\frac{d}{dx}\left(-11\sec\left(x\right)\right)$

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

$242\sec\left(x\right)^2\tan\left(x\right)$
SnapXam A2

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

### Useful tips on how to improve your answer:

$\frac{d}{dx}\left(\left(11\left(-1\right)\cdot\sec\left(x\right)\right)^2\right)$

### Main topic:

Differential Calculus

~ 0.04 s