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Doss [256]
3 years ago
15

Find dy/dx if f(x) = (x + 2)^7x.

Mathematics
1 answer:
lana [24]3 years ago
4 0
\dfrac{\mathrm d}{\mathrm dx}(x+2)^{7x}=\dfrac{\mathrm d}{\mathrm dx}e^{7x\ln(x+2)}

By the chain rule, the derivative reduces to

e^{7x\ln(x+2)}\dfrac{\mathrm d}{\mathrm dx}(7x\ln(x+2))=(x+2)^{7x}\dfrac{\mathrm d}{\mathrm dx}(7x\ln(x+2))

Then using the product rule, we get

(x+2)^{7x}\left(7\ln(x+2)+\dfrac{7x}{x+2}\right)
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The difference between decimal and binary system are-

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<h3>What is decimal system?</h3>

Our daily use of numbers is based on a decimal number system, which uses 10 digits. A number system in mathematics is thought of as the use of digits or symbols to represent numbers.

  • The binary number system, the decimal number system, the octal number system, and the hexadecimal number system are the four primary varieties of the number system.
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<h3>What is binary system?</h3>

The base-2 number system is the binary system. That implies that it solely use the digits 0 and 1. The 1 one location is moved to its left into the 2s place when adding one to one, and a 0 is placed in the ones place, yielding the number 10. In such a base-10 system, 10 thus = 10. 10 = 2 in the base-2 system.

  • The place values in a base-2 system begin with ones and progress to twos, fours, then eights as one move to its left.
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