Y X 4 6x 3 13x 2 10x 5 At 0 5

Y X 4 6x 3 13x 2 10x 5 At 0 5 - Solution. Verified by Toppr. (i) We have. y = x4 −6x3+13x2 −10x+5. ⇒ dy dx=4x3 −18x2 +26x−10. ∴ (dy dx)(0,5) =−10. Thus, the slope of the tangent at (0,5) is −10. Ergo equation of the tangent is given as, (y−5) =−10(x−0) ⇒10x+y−5 =0. The slope of the normal at (0,5) is −1 Slope of the tangent at(0,5)= 1 10. Quadratic equation x2 4x 5 0 Trigonometry 4sin cos 2sin Linear equation y 3x 4 Arithmetic 699 533 Matrix 2 5 3 4 2 1 0 1 3 5 Simultaneous equation 8x 2y 46 7x 3y 47 Differentiation dxd x 5 3x2 2 Integration 01 xe x2dx Limits x 3lim x2 2x 3x2 9

Y X 4 6x 3 13x 2 10x 5 At 0 5

Y X 4 6x 3 13x 2 10x 5 At 0 5

Y X 4 6x 3 13x 2 10x 5 At 0 5

Solution. Verified by Toppr. We have. y = x4 −6x3+13x2 −10x+5. ⇒ dy dx=4x3 −18x2 +26x−10. ∴ (dy dx)(1,3) =4−18+26−10= 2. Thus, the slope of the tangent at (1,3) is 2. So, equation of the tangent is given as, (y−3) = 2(x−1)⇒ 2x−y+1 = 0. The slope of the normal at (1,3) is −1 Slope of the tangent at(1,3)= −1 2. Find the equation of the tangent and the normal to the following curve at the indicated point y = x 4 − 6x 3 + 13x 2 − 10x + 5 at x = 1? Advertisements. Solution. y = x 4 − 6 x 3 + 13 x 2 − 10 x + 5. When When x = 1, y = 1 - 6 + 13 - 10 + 5 = 3. So So, ( x 1, y 1) = ( 1, 3) Now, Now, y = x 4 − 6 x 3 + 13 x 2 − 10 x + 5.

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Y X 4 6x 3 13x 2 10x 5 At 0 5Question: Find the equation of a tangent to the curve y=x^4-6x^3+13x^2- 10x+5 at the point (1, 3). Find the equation of a tangent to the curve y = x ^ 4 - 6 x ^ 3 + 1 3 x ^ 2 - 1 0 x + 5 at the point ( 1, 3). There are 2 steps to solve this one. Powered by Chegg AI. Step 1. Find the. View the full answer Step 2. i The equation of the curve is y x 4 6x 3 13x 2 10x 5 On differentiating with respect to x we get Thus the slope of the tangent at 0 5 is 10 The equation of the tangent is given as y 5 10 x 0 y 5 10x 10x y 5 The slope of the normal at 0 5 is Therefore the equation of the

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Polynomial. In mathematics, a polynomial is a mathematical expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7. An example with three indeterminates . Find The Equations Of The Tangent And Normal To The Given Curves At The

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