Differentiation

a.

Given that $y = 5^x$ show that $dydx=5xln⁡5\displaystyle \frac{dy}{dx} = 5^x \ln 5$

[2]

b.

Find the equation to the tangent of the curve $y = 2^{(x^2)}$ at the point $(3, 512)$

[4]

a.

Given that $y = 5^x$ show that $dydx=5xln⁡5\displaystyle \frac{dy}{dx} = 5^x \ln 5$

[2]

b.

Find the equation to the tangent of the curve $y = 2^{(x^2)}$ at the point $(3, 512)$

[4]

Differentiation Questions