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To differentiate y with respect to x, you have to multiply each x term by their respective power and then decrease their power by one. For example, 4x2 differentiated is 2 x 4x2-1 = ...
Whenever you see an integral with a product as the integrand, check if integration by parts works.That is, Int(v(x)*u'(x)) = u(x)v(x)-int(u(x)v'(x))So you should see that its easier ...
Let y = f(x). The gradient of the tangent to the curve at a stationary point is equal to 0. To find an equation for the gradient of the curve, differentiate f(x) to get dy/dx. Because we are looking for s...
Differentiation is how to find the gradient of a line. For example, the line y = 3x has a gradient of 3. Similarly, y = 4x + 2 has a gradient of 4. However, for most lines, the gradient isn't the same alo...
This question requires an understanding of implicit differentiation, a specific form of the chain rule for derivatives. (Aside/reminder) - Implicit function vs Explicit function: Answered by Jesse C. • Maths tutor11115 Views
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