find dy/dx where
y = (root x + 3)(x² + 6)
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Answer :
The Derivative of is
Explanation :
To find :
The Derivative of :
Knowledge required :
- Product rule of differentiation :
- Exponent rule of differentiation :
- Differentiation of a constant term is 0.
Solution :
By using the the product rule of differentiation, we get :
Here,
- u = √x + 3
- v = x² + 6
By substituting the values of u and v in the equation, we get :
Now by differentiating u and v, we get :
Differentiation of u :
Differentiation of v :
Now by substituting the Derivative of u and v in the equation, we get :
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