Taking the derivative with a square root and tangent

The video tutorial explains how to identify and differentiate functions using calculus principles. It begins with identifying two functions, F(x) and G(x), and explains how to handle radicals. The tutorial then moves on to finding derivatives of these functions, emphasizing the use of the chain rule. The final section involves calculating the complete derivative expression, ensuring a clear understanding of the process.

What is the inside function G(x) in the given expression?

• X raised to the power of 1/2

• Inverse tangent of X

• Tangent of 4X

• Secant squared of X

Which rule is used to find the derivative of G(x)?

• Product Rule

• Power Rule

• Quotient Rule

• Chain Rule

What is the derivative of the outside function in G(x)?

• Sine of X

• Tangent of X

• Cosine of X

• Secant squared of X

How is the final derivative expression simplified?

• By adding 1

• By dividing by 4

• By using the square root

• By multiplying by 2

What is the final form of the derivative expression?

• X raised to the power of 1/2

• Secant squared of X times 4

• Tangent of 4X raised to the 1/2

• 4 secant squared of 4X all over two