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Find the derivative of $5\cos\left(5x\right)$

Step-by-step Solution

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Final Answer

$-25\sin\left(5x\right)$
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Step-by-step Solution

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The derivative of a function multiplied by a constant ($5$) is equal to the constant times the derivative of the function

$5\frac{d}{dx}\left(\cos\left(5x\right)\right)$

Learn how to solve quadratic equations problems step by step online.

$5\frac{d}{dx}\left(\cos\left(5x\right)\right)$

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Learn how to solve quadratic equations problems step by step online. Find the derivative of 5cos(5x). The derivative of a function multiplied by a constant (5) is equal to the constant times the derivative of the function. The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.

Final Answer

$-25\sin\left(5x\right)$

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 5cos5x using the product ruleFind derivative of 5cos5x using the quotient ruleFind derivative of 5cos5x using logarithmic differentiationFind derivative of 5cos5x using the definition

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Function Plot

Plotting: $-25\sin\left(5x\right)$

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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

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Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

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