Calculus Examples

Find the Derivative - d/dy y=5e^x+4/( cube root of x)
Step 1
Multiply by .
Step 2
Combine and simplify the denominator.
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Step 2.1
Multiply by .
Step 2.2
Raise to the power of .
Step 2.3
Use the power rule to combine exponents.
Step 2.4
Add and .
Step 2.5
Rewrite as .
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Step 2.5.1
Use to rewrite as .
Step 2.5.2
Apply the power rule and multiply exponents, .
Step 2.5.3
Combine and .
Step 2.5.4
Cancel the common factor of .
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Step 2.5.4.1
Cancel the common factor.
Step 2.5.4.2
Rewrite the expression.
Step 2.5.5
Simplify.
Step 3
Rewrite as .
Step 4
By the Sum Rule, the derivative of with respect to is .
Step 5
Since is constant with respect to , the derivative of with respect to is .
Step 6
Since is constant with respect to , the derivative of with respect to is .
Step 7
Add and .