# How do you differentiate #y=sqrt(4+3x)#?

Recall the formula for chain rule:

and the formula for power rule:

How to Differentiate Using Chain Rule

By signing up, you agree to our Terms of Service and Privacy Policy

To differentiate y = √(4 + 3x) with respect to x, you can use the chain rule.

- Start by rewriting the function as y = (4 + 3x)^(1/2).
- Then, differentiate the function term by term.
- The derivative of (4 + 3x)^(1/2) with respect to x is (1/2)(4 + 3x)^(-1/2) * (d/dx)(4 + 3x).
- Compute the derivative of 4 + 3x with respect to x, which is simply 3.
- Substitute this derivative back into the expression.
- Finally, simplify the result if possible.

So, the derivative of y = √(4 + 3x) with respect to x is: dy/dx = (1/2)(4 + 3x)^(-1/2) * 3 = 3/(2√(4 + 3x))

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you differentiate #f(x)=(x^2+1)^3 # using the chain rule?
- How do you differentiate #y=sqrt(2-e^x)#?
- How do you use the quotient rule to differentiate #1 / (1 + x²)#?
- How do you differentiate # y= sqrt( (x^2 + 4x + 1)^2+2x)# using the chain rule?
- How do you differentiate #f(x)=lnsqrt(-e^(4x)-2)# using the chain rule.?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7