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Find the tangent to the curve y=x^3+3 at the point x=1.

1. Differentiate the Equation of the curve to find the gradient: y'=3x^2 2. The gradient of the tangent is found by substituting x=1 into y'=3x^2: Gradient of tangent=3 3. Now we must find out the co-ordinat...
SK
Answered by Sevenia K. • Maths tutor
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Use the substition u = cos(x) to find the indefinite integral of -12sin(x)cos^3(x) dx

We are given the substitution to use, so the first step is to differentiate "u" with respect to x . du/dx = -sin(x) Now, to replace the "dx" in the original integrand with something in te...
AH
Answered by Arnab H. • Maths tutor
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Differentiate x^3(sinx) with respect to x

As we are differentiating a product (two things times together) we can use the product rule which is if: y = u(x)v(x) then dy/dx = u(dv/dx) + v(du/dx). So firstly looking at our equation we need to identify ...
SC
Answered by Sophie C. • Maths tutor
32765 Views

Solve 2x + 10 = 4x + 6

This question require us to rearrange the equation and solve it to find the vale of x. Firstly we need to make sure all of the x are on one side of the equation. To put all the values of x on one side we can...
SC
Answered by Sophie C. • Maths tutor
7809 Views

How do you calculate the probability P(X < x) for a normally distributed random variable X?

If the details of the distribution - its mean and standard deviation are known, the following transformation applies Z = (X - mean) / stdev where Z is now a random variable distributed as normal(0, 1). Now, ...
JP
Answered by Jonas P. • Maths tutor
4590 Views