find the derivatives of the following y=(2x+3)⁴ ​

Question

find the derivatives of the following y=(2x+3)⁴ ​

in progress 0
Mộc Miên 2 months 2021-08-04T18:45:33+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-08-04T18:47:25+00:00

    Answer:

    \frac{dy}{dx} = 8(2x + 3)³

    Step-by-step explanation:

    Using the function of a function rule

    Given

    y = f(g(x)) , then

    \frac{dy}{dx} = f'(g(x)) × g'(x)

    Given

    y = (2x+3)^{4} , then

    \frac{dy}{dx} = 4(2x + 3)³ × \frac{d}{dx} (2x + 3)

        = 4(2x + 3)³ × 2

         = 8(2x + 3)³

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )