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

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Question 4
a.

Given that y=6xy = 6^xy=6x show that dydx=6xln⁡6\displaystyle \frac{dy}{dx} = 6^x \ln 6dxdy​=6xln6

[2]
b.

Find the equation to the tangent of the curve y=5(x2)y = 5^{(x^2)}y=5(x2) at the point (1,5)(1, 5)(1,5)

[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)