👉 Try now NerdPal! Our new math app on iOS and Android
Calculators Topics Solving Methods Step Checker
Book solutions
Algebra Baldor
Go Premium
ENG • ESP
Topics

Find the derivative of $10\sqrt{x^2+25}-50$

Step-by-step Solution

Go!
Math mode
Text mode
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
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

Solution

Formulas

Videos

Final Answer

$\frac{10x}{\sqrt{x^2+25}}$
Got another answer? Verify it here!

Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(10\sqrt{x^2+25}-50\right)$

Specify the solving method

1

The derivative of a sum of two or more functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(10\sqrt{x^2+25}\right)+\frac{d}{dx}\left(-50\right)$

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

$\frac{d}{dx}\left(10\sqrt{x^2+25}\right)+\frac{d}{dx}\left(-50\right)$

Unlock unlimited step-by-step solutions and much more!

Unlock the first 2 steps of this solution.

Learn how to solve differential calculus problems step by step online. Find the derivative of 10(x^2+25)^1/2-50. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-50) is equal to zero. The derivative of a function multiplied by a constant (10) 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}.

Final Answer

$\frac{10x}{\sqrt{x^2+25}}$

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 (10(x^2+25)^0.5-50) using the product ruleFind derivative of (10(x^2+25)^0.5-50) using the quotient ruleFind derivative of (10(x^2+25)^0.5-50) using logarithmic differentiationFind derivative of (10(x^2+25)^0.5-50) using the definition

Give us your feedback!

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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
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

Find the derivative

$\frac{d}{dx}\left(2x-1\cdot 4\cdot \ln\left(x+2\right)\right)$

Find the derivative

$\frac{d}{dx}\left(\pi100^2=0\right)$

Find the derivative

$\frac{d}{dx}\left(e^{8x}+4x+e^{8x}\right)$

Find the derivative

$\frac{d}{dx}\left(x^2-2x^5\ln\left(x+2\right)\right)$

Find the derivative

$\frac{d}{dx}\left(4\sec\left(x\right)-2\csc\left(x\right)\right)$

Find the derivative

$\frac{d}{dx}\left(e^{2x}-x\cdot \cos\left(xy\right)\right)$

Find the derivative

$\frac{d}{dx}\left(9x^4\cdot\ln\left(x^4\right)+\ln\left(x\right)^5\right)$

Main topic:

Differential Calculus

Used formulas:

4. See formulas

Related topics:

Differential CalculusCalculusSum Rule of DifferentiationConstant Rule for DifferentiationPower Rule for DerivativesBasic Differentiation Rules

Supercharge your math learning

Use your academic email to get more benefits.
By signing up, you agree to SnapXam's Terms and Privacy Policy.

Already have an account? Login here
Forgot password?

Supercharge your math learning

Use your academic email to get more benefits.


Register here if you don't have an account.
Forgot password?

Invest in your Education!

Help us make you learn faster

Complete step-by-step math solutions. No ads.

Including multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android app.

Join 500k+ students in problem solving.

Subscription. Cancel anytime.
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account
3-Month Special Plan
One-time payment of $2.97 USD.
Without automatic renewal.
Create an Account