PU E 2026 Differentiation Free Quiz 1

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PU E 2026 Differentiation Free Quiz 1

PU E Quiz

10:00

Answered: 0 / 10

Remaining: 10

Navigator 10 Q

General

General 10 MCQs

1. What is the definition of derivative?

A. f'(x) = lim_{h→0} [f(x+h) - f(x)]/h B. f'(x) = lim_{h→0} [f(x+h) + f(x)]/h C. f'(x) = lim_{h→0} [f(x+h) - f(x)]/h² D. f'(x) = lim_{h→0} [f(x+h) - f(x)]/2h

2. What is d/dx (xⁿ)?

A. n xⁿ B. n xⁿ⁻¹ C. n xⁿ⁺¹ D. (n-1)xⁿ⁻²

3. What is d/dx (cos x)?

A. sin x B. cos x C. -cos x D. -sin x

4. What is d/dx (tan x)?

A. sec² x B. csc² x C. sin² x D. cos² x

5. What is d/dx (eˣ)?

A. 0 B. eˣ C. x eˣ⁻¹ D. eˣ

6. What is the chain rule?

A. f'(g(x)) × g'(x) B. f'(g(x)) + g'(x) C. f'(g(x)) - g'(x) D. f'(g(x)) / g'(x)

7. What is d/dx (sin 2x)?

A. cos 2x B. 2 cos 2x C. 2 sin 2x D. -2 cos 2x

8. What is d/dx (e^{3x})?

A. e^{3x} B. 3e^{3x} C. 3e^{3x} D. 9e^{3x}

9. When is implicit differentiation used?

A. When y is not given explicitly B. When y is given explicitly C. When x is given parametrically D. When using logarithms

10. What is dy/dx for x² + y² = 25?

A. dy/dx = x/y B. dy/dx = -x/y C. dy/dx = -y/x D. dy/dx = y/x

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