contestada


Find the derivative of the following functions:

(i) f(x) = −x 2 + 10x + 4

(ii) f(x) = 20 − 1 x+2

(iii) f(x) = x 4 e −2x 2

(iv) f(x) = ln(x 2 + 2x + 2).

using the differentiation rules :Derivative definition and operation rules (Sum, subtraction, multiplication, quotient), Derivative of many basic functions (power, quadratic, exponential and natural logarithm functions), Function of Functions: (Chain Rule).

Explain carefully what rule(s) you have used and where you have applied it(them)

Respuesta :

harpazo

I will only do the first-three. You can repost number 4.

Question 1

f(x) = -x^2 + 10x + 4

dy/dx = -2x + 10

Question 2

f(x) = 20 - x + 2

dy/dx = -1

Question 3

f(x) = ex^4 - 2x^2

dy/dx = e•4x^3 + x^4 - 4x

dy/dx = 4ex^3 + x^4 - 4x

Otras preguntas