f(x) = 12 xe6x

Answered question

2022-03-31

  1. f(x) = 12 xe6x

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-04-21Added 375 answers

f(x)=12xe6x

Multiply 6 by 12.

ddx[72xex]

Raise x to the power of 1.

ddx[72(x1xe)]

Use the power rule aman=am+n to combine exponents.

ddx[72x1+e]

Since 72 is constant with respect to x, the derivative of 72x1+e with respect to x is 72ddx[x1+e].

72ddx[x1+e]

Differentiate using the Power Rule which states that ddx[xn] is nxn-1 where n=1+e.

72((1+e)x1+e-1)

Simplify by subtracting numbers.

72((1+e)xe)

Simplify.

Apply the distributive property.

(721+72e)xe

Apply the distributive property.

721xe+72exe

Multiply 72 by 1.

72xe+72exe

Reorder terms.

72exe+72xe - Answer

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