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zhenek [66]
1 year ago
13

Differentiate each function with respect to x. Show steps

Mathematics
1 answer:
konstantin123 [22]1 year ago
4 0

The derivative of the function is f'(x) = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴.

<h3>What is the derivative of a function?</h3>

When a single-variable function exists at a given input value, its derivative is represented by the slope of the tangent line to the function's graph at that point.

The given function is f(x) =tan x⁴ · (3x³ + 2).

Differentiate the function with respect to x:

f'(x) = tan x⁴ · 9x² + (3x³ + 2) sec² x⁴· 4x³

      = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴

Hence, the derivative of the function is

f'(x) = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴

Learn more about the derivatives:

brainly.com/question/25324584

#SPJ1

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Answer:

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Step-by-step explanation:

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1. 9.355 × 10^{7} can be used to express the age of the dinosaur fossil.

Step-by-step explanation:

Step 1; To determine which value is the closest to 93,550,000 we must calculate how much the 4 options equal. If there are decimals in the number, they are moved from the decimal part of the number to the integer part with every power of 10 i.e. 2.4 × 10 = 24, 2.44 × 10² = 244.

Step 2; Now we determine how much the 4 options equal.

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4. 9.3 × 10^{7} = 93,000,000.

Out of the four options, option 1 equals the value of 93,550,000. So option 1 can be used to express the age with the highest precision.

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