Practice Problems: Solve the following differentiation problems. Provide step-by-step solutions.
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- Differentiate f(x)=x4−3×3+2x−5f(x) = x^4 – 3x^3 + 2x – 5f(x)=x4−3×3+2x−5.
- Find the derivative of g(x)=ex⋅cos(x)g(x) = e^x \cdot \cos(x)g(x)=ex⋅cos(x) using the product rule.
- Use the chain rule to differentiate h(x)=3×2+2x+1h(x) = \sqrt{3x^2 + 2x + 1}h(x)=3×2+2x+1.
Complete the above, save them into one .pdf, and upload them when complete.