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diff --git a/src/main/java/org/apache/commons/math3/analysis/RealFieldUnivariateFunction.java b/src/main/java/org/apache/commons/math3/analysis/RealFieldUnivariateFunction.java
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+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math3.analysis;
+
+import org.apache.commons.math3.RealFieldElement;
+
+/**
+ * An interface representing a univariate real function.
+ *
+ * <p>When a <em>user-defined</em> function encounters an error during evaluation, the {@link
+ * #value(RealFieldElement) value} method should throw a <em>user-defined</em> unchecked exception.
+ *
+ * <p>The following code excerpt shows the recommended way to do that using a root solver as an
+ * example, but the same construct is applicable to ODE integrators or optimizers.
+ *
+ * <pre>
+ * private static class LocalException extends RuntimeException {
+ *     // The x value that caused the problem.
+ *     private final SomeFieldType x;
+ *
+ *     public LocalException(SomeFieldType x) {
+ *         this.x = x;
+ *     }
+ *
+ *     public double getX() {
+ *         return x;
+ *     }
+ * }
+ *
+ * private static class MyFunction implements FieldUnivariateFunction&lt;SomeFieldType&gt; {
+ *     public SomeFieldType value(SomeFieldType x) {
+ *         SomeFieldType y = hugeFormula(x);
+ *         if (somethingBadHappens) {
+ *           throw new LocalException(x);
+ *         }
+ *         return y;
+ *     }
+ * }
+ *
+ * public void compute() {
+ *     try {
+ *         solver.solve(maxEval, new MyFunction(a, b, c), min, max);
+ *     } catch (LocalException le) {
+ *         // Retrieve the x value.
+ *     }
+ * }
+ * </pre>
+ *
+ * As shown, the exception is local to the user's code and it is guaranteed that Apache Commons Math
+ * will not catch it.
+ *
+ * @param <T> the type of the field elements
+ * @since 3.6
+ * @see UnivariateFunction
+ */
+public interface RealFieldUnivariateFunction<T extends RealFieldElement<T>> {
+    /**
+     * Compute the value of the function.
+     *
+     * @param x Point at which the function value should be computed.
+     * @return the value of the function.
+     * @throws IllegalArgumentException when the activated method itself can ascertain that a
+     *     precondition, specified in the API expressed at the level of the activated method, has
+     *     been violated. When Commons Math throws an {@code IllegalArgumentException}, it is
+     *     usually the consequence of checking the actual parameters passed to the method.
+     */
+    T value(T x);
+}