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Find the derivative of $\tan\left(9x\right)$

Step-by-step Solution

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Solution

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Final answer to the problem

$9\sec\left(9x\right)^2$
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Step-by-step Solution

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Learn how to solve basic differentiation rules problems step by step online. Find the derivative of tan(9x). The derivative of the tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. The derivative of a function multiplied by a constant (9) is equal to the constant times the derivative of the function. The derivative of the linear function is equal to 1.

Final answer to the problem

$9\sec\left(9x\right)^2$

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Function Plot

Plotting: $9\sec\left(9x\right)^2$

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0
a
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x
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(◻)
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◻/◻
/
÷
◻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

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

$\frac{d}{dx}\left(ln\left(cos\left(x\right)\right)\right)$

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

$\frac{d}{dx}\sin\left(8x\right)$

$\frac{d}{dx}\left(ln\left(tan\left(x\right)\right)\right)$

$\frac{d}{dx}\ln\left(\cos\left(x\right)\right)$

Main Topic: Basic Differentiation Rules

Some differentiation rules are very easy to remember and use. These are the basic ones: constant rule, sum rule, product rule and quotient rule.

Used Formulas

See formulas (3)

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