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Competitive Stats
Q1Section I (General (compulsory))1 of 145

∇f=(2xy+7,x2)=(3,1)\nabla f=(2xy+7,x^2)=(3,1) at (1,−2)(1,-2)

Let f(x,y)=x2y+7xf(x,y)=x^2y+7x. Then the directional derivative of ff at the point (1,−2)(1,-2) in the direction (35,45)\bigl(\frac35,\frac45\bigr) is:

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