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How can I find the stationary point of y = e^2x cos x?

At a stationary point of y, dy/dx = 0. Step 1: Let's find dy/dx first by differentiating. To differentiate the product of two functions, we can use the product rule :d(fg)/dx = f * dg/dx + df/dx * g. So dy/d...
MT
Answered by Meg T. • Maths tutor
13501 Views

Find the exact solution to the equation: ln(3x-7) =5

Ln(3x-7)=5 Remove logs from both sides 3x-7=e 5 Rearrange to make x the subject3x=e 5 +7x= e 5 +7 3
LH
Answered by Lily H. • Maths tutor
9351 Views

Solve the simultaneous equations: 3x + y =11, 2x + y = 8

x = 3, y = 2
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Answered by Nathan B. • Maths tutor
3335 Views

Integrade the function f(x) = 1/(x^2 - 5x +6) with respect to x.

First, we need to factorise the denominator and therefore we use this formula: x 1,2 =[ -b + sqrt(b 2 -4 a c) ]/ (2a). You obtain two roots, x = 2 and x=3 and the integration is simplified to : 1/[(x-2)(x-3)...
EE
Answered by Efstathios E. • Maths tutor
1857 Views

Solve by completing the square: x^2 - 8x + 12 = 0

x 2 - 8x + 12 = 0 (x - 4) 2 - 16 + 12 = 0 (x - 4) 2 - 4 = 0 (x - 4) 2 = 4 x - 4 = +- 2 x = 6 x = 2
JV
Answered by Julianna V. • Maths tutor
4773 Views