Answer :
Final answer:
To find the derivative, use the power rule to differentiate each term and then add the derivatives together.
Explanation:
To find the derivative of the given expression, we can apply the power rule.
- For the term 45x^3, the derivative is obtained by multiplying the coefficient (45) by the exponent (3) and reducing the exponent by 1, giving us 135x^2.
- Similarly, for the term -5x^32, the derivative is obtained by multiplying the coefficient (-5) by the exponent (32) and reducing the exponent by 1, resulting in -160x^31.
- The derivative of the entire expression is the sum of the derivatives of the individual terms, giving us the final answer as 135x^2 - 160x^31.
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