I don't think you copied it correctly, but I'll assume that you did.
y = 4x³ - 2x² + 5('x' to the -3.7 power) - 6
"y-prime" (the first derivative) = 12x² - 4x - 18.5('x' to the -4.7 power)
to differentiate we know that the rule is KX^n= (K n)X^(n-1) where "K" is some constant , "X" is some variable and "n" is your exponent. so just apply this rule to your function. the first part is 4x^3. to differentiate you follow the rule. (4 3)x^(3-1). you get 12x^2. keep following this rule to the very end even with that -3.7 exponent. dont let the negative or the decimal point trip you up. and take care to change any positive to negative and vice versa should you need to. any how you should get y'=12x²-4x-18.5x^(-4.7)
remember that the 6 is no longer there because the derivative of a constant is zero :)
To differentiate the function y = 4 x 3 − 2 x 2 + 5 x − 3.7 − 6 , we use the power rule for each term. The resulting derivative is y ′ = 12 x 2 − 4 x − 18.5 x − 4.7 .
;
Cuma cara bacanya aja kan?Jawab: 1) Empat Puluh Juta Dua2) Dua Puluh Delapan Ribu Lima3) Sepuluh Ribu Sepuluh(Tambahin rupiah kalo duit)Semoga membantu!