Differentiate each of the following functions.i. y = 5x9 + 10ii. y = x3/5iii. y = 12e2x+4iv. y = ln(9x)

Question

Differentiate each of the following functions.i. y = 5x9 + 10ii. y = x3/5iii. y = 12e2x+4iv. y = ln(9x)
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Solution 1

Sure, here are the derivatives of the given functions:

i. The derivative of y = 5x^9 + 10 is dy/dx = 45x^8. This is obtained by applying the power rule which states that the derivative of x^n is n*x^(n-1).

ii. The derivative of y = x^(3/5) is dy/dx = (3/5)x^(-2/5). Again, this is obtained by apply Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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