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Write down the values of (1) loga(a) and (2) loga(a^3) [(1) log base a, of a (2) log base a of (a^3)]

Let's first go to the whiteboard where I will explain what a logarithm is. The equation, loga(b) = x, could be re-written into the form, a^x = b. This is true for all logarithmic equations. There is a rul...

Answered by Sohail H. • Maths tutor

13530 Views

Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2

Differentiate the curve to get the gradient function: f'(x)= 2x + 5. Solve for x when f'(x) = 0 --> 2x + 5 = 0, 2x = -5, x = -5/2 Substitute into the original equation to find y: (-2.5)^2 + 5 * -2.5 + ...

Answered by Tutor49585 D. • Maths tutor

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The curve C has equation x^2 + 2xy + 3y^2 = 4. Find dy/dx.

Here, we have to use implicit differentiation, along with the product rule. Remember that the product rule is (vu)' = vu'+uv'. Moving through the equation we have: x^2+2xy+3y^2 = 4 ==> 2x +2y + 2x*(d...

Answered by Chris B. • Maths tutor

11582 Views

When given an equation in parametric form, how can you figure out dy/dx?

Assuming we are given that x = f(t) and y = g(t), we first differentiate x with respect to t to obtain dx/dt. Then, we differentiate y with respect to t to obtain dy/dt. Much like fractions, we can find d...

Answered by Dave J. • Maths tutor

3336 Views

How do I know which SUVAT equation to use?

SUVAT equations link the variables S (displacement), U (initial speed), V(final speed), A(accelerations), and T (time), for situations where there is constant acceleration. Each of the 5 SUVAT equations ...

Answered by Nikul V. • Maths tutor

18769 Views