Identify the expression for the gradient of the chord joining the point (x, f(x))(x,\, f(x))(x,f(x)) to the point (x+h, f(x+h))(x + h,\, f(x + h))(x+h,f(x+h)) on the curve y=f(x)y = f(x)y=f(x).
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f(x+h)+f(x)h\dfrac{f(x + h) + f(x)}{h}hf(x+h)+f(x)
f(x+h)−f(x)x\dfrac{f(x + h) - f(x)}{x}xf(x+h)−f(x)
f(x+h)−f(x)h\dfrac{f(x + h) - f(x)}{h}hf(x+h)−f(x)
f(h)−f(x)h\dfrac{f(h) - f(x)}{h}hf(h)−f(x)
375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.