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)
425 exam-style questions on OCR A Level Maths 1.7 Differentiation, covering 1.7.1 Derivative as gradient of the tangent, 1.7.2 Gradient of the tangent at a point, 1.7.3 Sketching the gradient function, 1.7.4 Second derivatives, 1.7.5 Second derivative as rate of change of gradient, 1.7.6 Convex, concave and points of inflection (A-level only), 1.7.7 Differentiation from first principles for powers of x, 1.7.8 Differentiation from first principles for sin x and cos x (A-level only), 1.7.9 Differentiating x^n, 1.7.10 Differentiating e^(kx) and a^(kx) (A-level only), 1.7.11 Differentiating trigonometric functions (A-level only), 1.7.12 Derivative of ln x (A-level only), 1.7.13 Tangents and normals, 1.7.14 Stationary points, 1.7.15 Increasing and decreasing functions, 1.7.16 Points of inflection (A-level only), 1.7.17 Product and quotient rules (A-level only), 1.7.18 Chain rule (A-level only), 1.7.19 Parametric and implicit differentiation (A-level only), 1.7.20 Constructing differential equations (A-level only), and 1.7 Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.