Question

If \[ y=(e^{2x}-4)(6e^{2x}-5e^{x}+1), \] then \[ \left(\frac{dy}{dx}\right)_{x=0} - \left(\frac{d^{2}y}{dx^{2}}\right)_{x=0} = \ ? \]

• A. \(0\)
• B. \(-5\)
• C. \(4\)
• D. \(6\)

Hint:

For exponential expressions, expanding first often reduces the amount of product-rule differentiation required.

Answer 1

The Correct Option is C