Maajin Koyon Korafi Na {0}

Bayani Gaba-gaba

Differentiation gives the gradient of a curve at any point, and from that single value you can write the equation of the tangent (the line that just touches the curve) and the normal (the line at right angles to it).

In this lesson you will use differentiation to find gradients, tangents and normals to a curve.

Nazarin Darasi

Barka da kammala darasi akan Gradients, Tangents And Normals. Yanzu da kuka bincika mahimman raayoyi da raayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

For y = x^2, the gradient at x = 2 is: A. 2 B. 4 C. 8 D. 1 Answer: B
The tangent to y = x^2 at (2, 4) is: A. y = 2x B. y = 4x - 4 C. y = 4x + 4 D. y = x - 2 Answer: B
If a tangent has gradient 4, the normal has gradient: A. 4 B. -4 C. 1/4 D. -1/4 Answer: D
The normal to a curve is: A. parallel to the tangent B. perpendicular to the tangent C. the same as the tangent D. horizontal Answer: B
To find the gradient at a point you: A. integrate then substitute B. differentiate then substitute C. substitute then differentiate D. only substitute Answer: B