) If y = 20x^5+9x^4-3x^3-21x^2+8x+3 find an expression for dy/dx,and the gradient at x = 2?

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  • 1 month ago

    y = 20x^5+9x^4-3x^3-21x^2+8x+3

    dy/dx  =  (20*5) x^4  + (9*4) x^3 - (3*3) x^2 - (21*2) x + 8

    => dy/dx  =  100 x^4  +  36 x^3  -  9 x^2  - 42 x  +  8  ............ Answer

    ===========================

    If x = 2 

    Slope  =  dy/dx  =  1600 +  288 -  36  -  84  + 8  =  1776  ........... Answer

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  • 1 month ago

    y = 20x^5+9x^4-3x^3-21x^2+8x+3

    dy/dx = 100x^4 + 36x^3 - 9x^2 - 42x + 8

    when x = 2

    dy/dx = 100(2)^4 + 36(2)^3 - 9(2)^2 - 42(2) + 8 = 1776 Answer//

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