1) Find the derivatives of the following functions: a) x³e b) sin(x³ + 2x) I c) 1+x²

Q: 1) BASIC DERIVATIVES: Differentiate and simplify the following functions a) f(x) = 5x³+3x² - 5x+2 b)…

A: We know that the derivative of x^n Is  nx^(n-1)

Q: dy for the function y GI The derivative

A: Note: You have posted multiple questions, we have solved the first question for you if there is a…

Q: 3) Find the first and second derivative of each of the following functions. Write your answer with…

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Q: derivatives of the following functions.   a)      exp(3x2)

A: a) Given function is e3x2.

Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: Find the derivatives of the following functions (use derivate definition): i) sen x 11) cos x

A: The given question is related with the derivative of functions. We have to find the derivatives of…

Q: 1. y=(sin ¹x² + X 1+tan x

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Q: 1. Determine the slope of the following functions. į. f(x) = 4x³ + 5x4 - 9x + 2 f(x) = sin(3x) - 5x³…

A: We determine the slope of the following functions.                          i. f(x) = 4x3 + 5x4 - 9x…

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: 3. Find the derivative of y = sin² 3x two different ways, a. Use the product rule. b. Use a power…

A: Here is the solution:

Q: nd the derivati

A: Here we have to find the derivative of  y=(3x5-2)13  differentiate with respect to x…

Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the…

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Q: Find the derivative of the function. r= ( sec 0+ tan 0) - 3

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Q: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

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Q: for the function y cot V8- 22 dz dy The derivative

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