Calculus Examples

Find the Derivative - d/dx x+ square root of 5x
Step 1
Differentiate.
Tap for more steps...
Step 1.1
By the Sum Rule, the derivative of with respect to is .
Step 1.2
Differentiate using the Power Rule which states that is where .
Step 2
Evaluate .
Tap for more steps...
Step 2.1
Use to rewrite as .
Step 2.2
Factor out of .
Step 2.3
Apply the product rule to .
Step 2.4
Since is constant with respect to , the derivative of with respect to is .
Step 2.5
Differentiate using the Power Rule which states that is where .
Step 2.6
To write as a fraction with a common denominator, multiply by .
Step 2.7
Combine and .
Step 2.8
Combine the numerators over the common denominator.
Step 2.9
Simplify the numerator.
Tap for more steps...
Step 2.9.1
Multiply by .
Step 2.9.2
Subtract from .
Step 2.10
Move the negative in front of the fraction.
Step 2.11
Combine and .
Step 2.12
Combine and .
Step 2.13
Move to the denominator using the negative exponent rule .