Explained: "Solve the derivatives of the following functions. f(x)=(2x+3)(4x−5)" - Plainmath

coexpennan

Answered question

2021-10-05

Solve the derivatives of the following functions.

f (x) = (2 x + 3) (4 x - 5)

Answer & Explanation

nitruraviX

Skilled2021-10-06Added 101 answers

Step 1
Given the function
Step 2

f (x) = (2 x + 3) (4 x - 5)

First write the product rule of derivation

\frac{d}{d x} (f \cdot g) = f \frac{d g}{d x} + g \frac{d f}{d x}

f (x) = (2 x + 3) \frac{d}{d x} (4 x - 5) + (4 x - 5) \frac{d}{d x} (2 x + 3)

f(x)=(2x+3)(4)+(4x-5)(2)
f(x)=8x+12+8x-10
f(x)=2

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