Differential Calculus
f(x)=x^3+e^(x/2). g'(x)=f'1(x) g'(x)=?
f(x)=x^3+e^(x/2). g'(x)=f'1(x) g'(x)=?
1 Answer
Nirmal Singh.
We have f’(x) = derivative of x^3 + derivative of e^(x/2) ( sum rule)
= 3x^2 + ½ e^x/2 (Using power rule for I term and chain rule for second term)
So f’(x) = 3x^2 + ½ e^x/2 = g’(x).
As f’(x) = g’(x) given , we get for g’(x) = 3x^2 + ½ e^(x/2) as answer.
Regards,
Nirmal Singh
Askiitians faculty
= 3x^2 + ½ e^x/2 (Using power rule for I term and chain rule for second term)
So f’(x) = 3x^2 + ½ e^x/2 = g’(x).
As f’(x) = g’(x) given , we get for g’(x) = 3x^2 + ½ e^(x/2) as answer.
Regards,
Nirmal Singh
Askiitians faculty
Other Related Questions on differential calculus
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
the diameter of a roller is 84 cm and its length is 120 cm. it takes 500 complete revolution to move once over to level a playground. find the area of the playground in square m?
differential calculus
Last Activity: 3 Years ago
Find dy/DX when y=x^sinx+sin-1√x. Please give me the solution of this problem.
Find dy/DX when y=x^sinx+sin-1√x.
Please give me the solution of this problem.
differential calculus
Last Activity: 4 Years ago
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
If domain of f(x) is [-1, 2], then find the domain of f([x]-x^2+4), where [ ]denotes greatest integer function.
differential calculus
Last Activity: 4 Years ago
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
Solve the differential equation y’’+2ty’-4y=1, y(0)=y’(0)=0.
differential calculus
Last Activity: 4 Years ago
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin Cwhere A + B + C = T(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.
differential calculus
Last Activity: 4 Years ago