(a) Explanation Given Information: The function, g ( x ) = 5 x 10 + 4 x 3 4 + x 5 − 4 and the variable x = 1 . Formula Used: According to sum rule of derivatives, If f ( x ) = u ( x ) + v ( x ) then, f ′ ( x ) = u ′ ( x ) + v ′ ( x ) According to power rule, If f ( x ) = x n , then f ′ ( x ) = n x n − 1 . According to constant function rule, If f ( x ) = c , then f ′ ( x ) = 0 . Coefficient rule for a constant c is such that, if f ( x ) = c ⋅ u ( x ) , where u ( x ) is a differentiable function of x , then f ′ ( x ) = c ⋅ u ′ ( x ) . Calculation: The given function is g ( x ) = 5 x 10 + 4 x 3 4 + x 5 − 4 (b) To determine The derivative of the function g ( x ) = 5 x 10 + 4 x 3 4 + x 5 − 4 at x = 1 using TI-83 calculator.

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Author: HARSHBARGER

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Chapter 9.4, Problem 40E

(a)

To determine

To calculate: The derivative of the function g(x)=5x10+4x34+x5−4 at x=1.

(b)

To determine

The derivative of the function g(x)=5x10+4x34+x5−4 at x=1 using TI-83 calculator.

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Chapter 9.4, Problem 39E

Chapter 9.4, Problem 41E

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The derivative of the function g ( x ) = 5 x 10 + 4 x 3 4 + x 5 − 4 at x = 1 .

Solution Summary: The author explains how to calculate the derivative of the function g(x)=5.

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To calculate: The derivative of the function g(x)=5x10+4x34+x5−4 at x=1.

The derivative of the function g(x)=5x10+4x34+x5−4 at x=1 using TI-83 calculator.

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