Grade 11Differential Calculus
The equation of the normal to the curve y=x^3+e^x at x=0 is
The equation of the normal to the curve y=x^3+e^x at x=0 is
1 Answer
ROSHAN MUJEEB
Approved Tutor Answer6 Years agoDear Student
Different the equation wrt y. -dx/dy is the slope of normal.
Differentiating wrt y gives 1=3x^2dx/dy + e^xdx/dy. Put x=0
It gives 1=dx/dy . Slope of normal is -1. The coordinate is (0,1)
equation of line is y-1= -x. Hope you got it
Different the equation wrt y. -dx/dy is the slope of normal.
Differentiating wrt y gives 1=3x^2dx/dy + e^xdx/dy. Put x=0
It gives 1=dx/dy . Slope of normal is -1. The coordinate is (0,1)
equation of line is y-1= -x. Hope you got it
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