Differentiation

Question 7

i.

The curve $C\,$ has equation $y=x9+x2\displaystyle y = \frac{x}{9 + x^2}$ . Use calculus to find the coordinates of the turning points of $C$ .

[6]

ii.

Given that $y=(1+e2x)32\displaystyle y = (1 + e^{2x})^{\frac{3}{2}}$ , find the value of $dydx\displaystyle \frac{dy}{dx}$ at $x=12ln⁡3\displaystyle x = \frac{1}{2} \ln 3$ .

[5]

Differentiation

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Question 7

i.

The curve $C\,$ has equation $y=x9+x2\displaystyle y = \frac{x}{9 + x^2}$ . Use calculus to find the coordinates of the turning points of $C$ .

[6]

ii.

Given that $y=(1+e2x)32\displaystyle y = (1 + e^{2x})^{\frac{3}{2}}$ , find the value of $dydx\displaystyle \frac{dy}{dx}$ at $x=12ln⁡3\displaystyle x = \frac{1}{2} \ln 3$ .

[5]

Differentiation

Question 7

Markscheme

Differentiation

Question 7

Markscheme

Differentiation

Question 7

Differentiation Questions

Differentiation

Question 7

Differentiation Questions