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1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)

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Question 9
a.

Given that y=2xy = 2^xy=2x show that dydx=2xln⁡2\displaystyle \frac{dy}{dx} = 2^x \ln 2dxdy​=2xln2

[2]
b.

Find the equation to the tangent of the curve y=3(x2)y = 3^{(x^2)}y=3(x2) at the point (2,81)(2, 81)(2,81)

[4]

1.9.10 Differentiate e^kx, a^kx and ln x (A-level only) Questions

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  3. /1.9.10 Differentiate e^kx, a^kx and ln x (A-level only)