Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1. Derivative of Exponential Functions : Direction: Determine the first derivative and slope of the function given its point of tangency. 1. y = e(3x2-x+5) P(2,-1) 2. y = 4(5x2+3) P(-1,3) 3. y = (3x + 4) (5x-7) P(1,6) Part 2. Derivative of Logarithmic Functions Direction: Determine the first derivative and slope of the function given its point of tangency. 1. y = log,(5x + 3x-7) P(2,5) 2. y = log1,(7x2 - 6x + 10) P(-3,2) 3. y = In(9x? + 4x – 23) P(0,1)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 24E
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Content:
Derivatives of Exponential and Logarithmic Function
Summative Number: 3Q3
Part 1. Derivative of Exponential Functions :
Direction: Determine the first derivative and slope of the function given its point of tangency.
1. y = e(3x2-x+5)
P(2,-1)
2. y = 4(5x2+3)
P(-1,3)
3. y = (3x + 4) (5x-7)
P(1,6)
Part 2. Derivative of Logarithmic Functions
Direction: Determine the first derivative and slope of the function given its point of tangency.
1. y = log,(5x + 3x-7)
P(2,5)
2. y = log,,(7x2 - 6x + 10)
P(-3,2)
3. y = In(9x? + 4x – 23)
P(0,1)
Transcribed Image Text:Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1. Derivative of Exponential Functions : Direction: Determine the first derivative and slope of the function given its point of tangency. 1. y = e(3x2-x+5) P(2,-1) 2. y = 4(5x2+3) P(-1,3) 3. y = (3x + 4) (5x-7) P(1,6) Part 2. Derivative of Logarithmic Functions Direction: Determine the first derivative and slope of the function given its point of tangency. 1. y = log,(5x + 3x-7) P(2,5) 2. y = log,,(7x2 - 6x + 10) P(-3,2) 3. y = In(9x? + 4x – 23) P(0,1)
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